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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.String.Basic public import Init.Data.String.Lemmas.Pattern.String.ForwardPattern public import Init.Data.St...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.Split.Basic public import Init.Data.String.Lemmas.Pattern.Split.Char public import Init.Data.String.Lemmas....
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Pattern.Basic import all Init.Data.String.Pattern.Basic import Init.Data.ByteArray.Lemmas import Init.ByCases import Init...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Pattern.Basic public import Init.Data.String.Lemmas.Splits public import Init.Data.Iterators.Consumers.Collect import all...
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skipPrefix?_eq_some_iff (pos) : ForwardPattern.skipPrefix? pat s = some pos ↔ IsLongestMatch pat pos theorem LawfulForwardPatternModel.skipPrefix?_sliceFrom_eq_none_iff {ρ : Type} {pat : ρ} [ForwardPattern pat] [PatternModel pat] [LawfulForwardPatternModel pat] {s : Slice} {p₀ : s.Pos} : ForwardPattern.skipPre...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Pattern.Pred public import Init.Data.String.Lemmas.Pattern.Basic public import Init.Data.String.Slice public import Init....
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.TakeDrop.Basic public import Init.Data.String.Lemmas.Pattern.TakeDrop.Char public import Init.Data.String....
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Pattern.Char public import Init.Data.String.Lemmas.Pattern.Basic public import Init.Data.String.Slice public import Init....
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.Find.Basic public import Init.Data.String.Lemmas.Pattern.Find.Char public import Init.Data.String.Lemmas.P...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.Basic public import Init.Data.String.Slice public import Init.Data.String.Search import all Init.Data.Strin...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.Search public import Init.Data.List.SplitOn.Basic public import Init.Data.String.Lemm...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.Search public import Init.Data.List.SplitOn.Basic public import Init.Data.String.Lemm...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.TakeDrop public import Init.Data.String.Lemmas.Splits import Init.Data.String.Lemmas....
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.TakeDrop public import Init.Data.String.Lemmas.Pattern.Basic import all Init.Data.Str...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.TakeDrop import Init.Data.String.Lemmas.Pattern.TakeDrop.Basic import Init.Data.Strin...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.TakeDrop import Init.Data.String.Lemmas.Pattern.TakeDrop.Basic import Init.Data.Strin...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.String.Basic public import Init.Data.String.Pattern.String public import Init.Data.String.Slice import all ...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.String.Pattern.String public import Init.Data.String.Lemmas.Pattern.Basic import Init.Data.String.Lemmas.IsEmpty import Init.Data...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Lemmas.Pattern.String.Basic public import Init.Data.String.Pattern.String public import Init.Data.String.Slice public imp...
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· exact ihy plausible (.offset h.isEmpty_eq_false) rfl rfl · have := h.partialMatch.needlePos_le_stackPos simp only [Pos.Raw.ext_iff, Pos.Raw.byteIdx_zero, base, lt_posGE_iff, offset_pos, Pos.Raw.lt_iff, Pos.Raw.byteIdx_unoffsetBy, gt_iff_lt] at ⊢ h₃ omega · sim...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Search import all Init.Data.String.Slice import all Init.Data.String.Pattern.String import Init.ByCases import Init.Data....
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.Search public import Init.Data.String.Lemmas.Pattern.Basic import all Init.Data.Stri...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.Search public import Init.Data.String.Lemmas.Splits import all Init.Data.String.Slic...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.String.Slice public import Init.Data.String.Search public import Init.Data.String.Lemmas.Splits import Init.Data.String.Lemmas.P...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.Basic import Init.Data.Nat.Lemmas import Init.ByCases import Init.Data.Option.Lemmas import Init.Omega /-! Th...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.Range.Polymorphic.Instances public import Init.Data.Fin.OverflowAware import Init.Grind import Init.Data.Fin.Lemmas import Init....
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.Instances import Init.Omega public section namespace Std.PRange instance : UpwardEnumerable Int where suc...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude import Init.Data.Iterators.Lemmas.Consumers.Collect import all Init.Data.Range.Polymorphic.Basic import all Init.Data.Range.Polymorphic.RangeIterator pu...
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· apply ihy (out := a) simp_all [Rxo.Iterator.isPlausibleStep_iff, Rxo.Iterator.step] theorem Rxo.Iterator.nodup_toList [LT α] [DecidableLT α] [PRange.UpwardEnumerable α] [Rxo.IsAlwaysFinite α] [PRange.LawfulUpwardEnumerable α] [PRange.LawfulUpwardEnumerableLT α] {it : Iter (α := Rxo.Iterator α) α} : ...
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[UpwardEnumerable α] [LawfulUpwardEnumerableLT α] [LawfulUpwardEnumerableLE α] [Rxo.IsAlwaysFinite α] [LawfulUpwardEnumerable α] {m : Type u → Type w} [Monad m] [LawfulMonad m] {γ : Type u} {init : γ} {f : (a : α) → _ → γ → m (ForInStep γ)} : ForIn'.forIn' r init f = if hu : r.lower < r.upper then do ...
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[LawfulUpwardEnumerable α] [LawfulUpwardEnumerableLT α] [Rxo.IsAlwaysFinite α] : r.toList = match UpwardEnumerable.succ? r.lower with | none => [] | some next => if next < r.upper then next :: (next<...<r.upper).toList else [] := by rw [Internal.toList_eq_toList_ite...
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public theorem toArray_eq_toArray_rcc [LE α] [DecidableLE α] [Least? α] [UpwardEnumerable α] [LawfulUpwardEnumerable α] [LawfulUpwardEnumerableLE α] [LawfulUpwardEnumerableLeast? α] [Rxc.IsAlwaysFinite α] : r.toArray = ((UpwardEnumerable.least (hn := ⟨r.upper⟩))...=r.upper).toArray := by simp [← toArray_t...
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simp [← hn, UpwardEnumerable.lt_succ_iff, UpwardEnumerable.least_le] | n + 1 => rw [succMany?_eq_some_iff_succMany, UpwardEnumerable.succMany_add_one_eq_succMany_succ, ← succMany?_eq_some_iff_succMany] at hn exact hle.elim ⟨n, hn⟩ public theorem toArray_succ_eq_map [LT α] [DecidableLT α...
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simp [Array.getElem_eq_getElem?_get, getElem?_toArray_eq] theorem eq_succMany?_of_toList_eq_append_cons [LE α] [DecidableLE α] [UpwardEnumerable α] [LawfulUpwardEnumerable α] [LawfulUpwardEnumerableLE α] [Rxc.IsAlwaysFinite α] {pref suff : List α} {cur : α} (h : r.toList = pref ++ cur :: suff) : cur = (Upw...
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r.size = match Least?.least? (α := α) with | none => 0 | some next => if next < r.upper then (next<...r.upper).size + 1 else 0 := by rw [size_eq_match_rcc] simp [Rco.size_eq_if_roo] @[simp] public theorem length_toList [Least? α] [LT α] [DecidableLT α] [UpwardE...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public meta import Init.Grind.Tactics public import Init.Data.Range.Polymorphic.Basic -- shake: keep (macro output dependency) public import Init.Data....
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude import Init.Data.Nat.Lemmas public import Init.Data.Range.Polymorphic.Instances import Init.Data.Nat.MinMax import Init.Omega import Init.RCases set_op...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude import Init.Data.Iterators.Lemmas.Consumers.Monadic.Loop public import Init.Data.Range.Polymorphic.PRange public import Init.Data.Iterators.Consumers.Mo...
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-- `Iterator.IsPlausibleStep` is reducible and it reduces to `Monadic.step`, but `Monadic.step` -- is semireducible, and `simp` isn't able to unfold `Monadic.step` inside `Iterator.IsPlausibleStep`, -- since that one only appears in the type of a constant -- I think? simp [Monadic.step] · simp termi...
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· apply IterM.DefaultConsumers.forIn'_eq_forIn' Pl wf <;> (intros; rfl) · simp · simp · rw [IterM.DefaultConsumers.forIn'_eq_match_step Pl wf] simp [IterM.step_eq, Monadic.step, instLawfulMonadLiftFunction.liftBind_pure, *] · simp termination_by IteratorLoop.WithWF.mk ⟨⟨some next, upperBou...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.Instances import Init.Omega import Init.Data.BitVec.Bootstrap import Init.Data.BitVec.Lemmas import Init.Data....
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Order.Classes public import Init.Classical import Init.Data.Option.Lemmas public section namespace Std.PRange /-- This typecl...
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[LawfulUpwardEnumerableLeast? α] [hn : Nonempty α] : least? (α := α) = some least := by simp [least] theorem UpwardEnumerable.isSome_least?_iff {α : Type u} [UpwardEnumerable α] [Least? α] [LawfulUpwardEnumerableLeast? α] : (least? (α := α)).isSome ↔ Nonempty α := by constructor · simp only [Option.i...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.Instances public import Init.Data.SInt import all Init.Data.SInt.Basic import all Init.Data.Range.Polymorphic...
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instRxiHasSize = HasModel.instRxiHasSize := by simp only [instRxiHasSize, HasModel.instRxiHasSize, Rxi.HasSize.size, ← toInt_toBitVec, HasModel.encode, HasModel.toNat_two_pow_sub_one_sub_toInt (show 64 > 0 by omega)] public instance instRxiLawfulHasSize : Rxi.LawfulHasSize Int64 := by rw [instUpwardEnumerable_...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Markus Himmel -/ module prelude public import Init.Data.Function import Init.Data.Order.Lemmas import Init.Data.Option.Function public import Init.Data.Range.Polymorphic.Basic import I...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.RangeIterator public import Init.Data.Range.Polymorphic.Basic public import Init.Data.Iterators.Consumers.Coll...
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Returns the number of elements contained in the full range. -/ @[always_inline, inline] def size (_ : Rii α) [Least? α] [Rxi.HasSize α] : Nat := match Least?.least? (α := α) with | none => 0 | some least => Rxi.HasSize.size least section Iterator theorem Internal.isPlausibleIndirectOutput_iter_iff [UpwardEn...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.PRange public import Init.Data.Option.Instances set_option doc.verso true public section namespace Std open...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.UpwardEnumerable set_option doc.verso true set_option linter.missingDocs true public section namespace Std ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.Nat public import Init.Data.List.BasicAux public import Init.Data.Range.Polymorphic.Iterators import Init.ByCa...
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(m...=n).toList[i]? = if i < n + 1 - m then some (m + i) else none := by simp [toList_rcc_eq_toList_rco, getElem?_toList_rco] @[simp] theorem getElem?_toList_rcc_eq_some_iff {m n i : Nat} : (m...=n).toList[i]? = some k ↔ i < n + 1 - m ∧ m + i = k := by simp [toList_rcc_eq_toList_rco, getElem?_toList_rco, eq_co...
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In the {name}`step` case, one proves that for any {given}`a : Nat` and {given}`b : Nat`, if the statement holds for {lean}`a<...b`, it also holds for the larger range {lean}`a<...(b + 1)`. The following is an example reproving {name}`length_toList_roo`. ```lean example (a b : Nat) : (a<...b).toList.length = b - a - 1...
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theorem getElem?_toArray_rio {n i : Nat} : (*...n).toArray[i]? = if i < n then some i else none := by simp [toArray_rio_eq_toArray_rco, getElem?_toArray_rco] @[simp] theorem getElem?_toArray_rio_eq_some_iff {n i : Nat} : (*...n).toArray[i]? = some k ↔ i < n ∧ i = k := by simp [toArray_rio_eq_toArray_rco] ...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Markus Himmel -/ module prelude public import Init.Data.Char.Ordinal public import Init.Data.Range.Polymorphic.Fin import Init.Data.Range.Polymorphic.Map import Init.Data.Char.Order imp...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.BitVec public import Init.Data.UInt import Init.ByCases import Init.Data.BitVec.Lemmas import Init.Data.Option...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Range.Polymorphic.Iterators public import Init.Data.Stream public section open Std.Iterators namespace Std.PRange instance {...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Alexander Bentkamp -/ module prelude public import Init.Data.Range.Polymorphic.Int public import Init.Data.List.BasicAux public import Init.Data.Range.Polymorphic.Iterators import Init...
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(m...=n).toArray = #[] ↔ n < m := by simp [toArray_rcc_eq_toArray_rco, Int.add_one_le_iff] theorem toArray_rcc_ne_empty_iff {m n : Int} : (m...=n).toArray ≠ #[] ↔ m ≤ n := by simp [toArray_rcc_eq_toArray_rco, Int.add_one_le_iff] @[simp 1001] theorem toArray_rcc_eq_empty {m n : Int} (h : n < m) : (m...=n)....
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theorem map_add_toList_roc {m n k : Int} : (m<...=n).toList.map (· + k) = ((m + k)<...=(n + k)).toList := by simp [toList_roc_eq_toList_rco, map_add_toList_rco, show ∀ l, l + 1 + k = l + k + 1 by omega] theorem map_add_toList_roc' {m n k : Int} : (m<...=n).toList.map (k + ·) = ((k + m)<...=(k + n)).toList :=...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.BitVec.Bootstrap public import Init.Data.BitVec.Lemmas public import Init.Data.Int.DivMod.Lemmas public import Init.Data.Int.Pow...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Producers.Monadic.List @[expose] public section open Std Std.Iterators Std.Iterators.Types /-! # List iterator Thi...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Producers.Monadic.List
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Control.Lawful.MonadLift public section /-! # Typeclass for lawful monad lifting functions This module provides a typeclass `Lawfu...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.Append public section namespace Std open Std.Iterators Std.Iterators.Types /-- Given two iterat...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.Take @[expose] public section namespace Std open Std.Iterators Std.Iterators.Types /-- Given an...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.Append public import Init.Data.Iterators.Combinators.Monadic.FilterMap public import Init.Data.Ite...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.ULift public section namespace Std open Std.Iterators Std.Iterators.Types universe v u v' u' v...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.Attach public section namespace Std open Std.Iterators @[cbv_opaque, always_inline, inline, exp...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.FilterMap public section /-! # `filterMap`, `filter` and `map` combinators This file provides ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.FlatMap import Init.Data.Iterators.Combinators.FilterMap set_option doc.verso true /-! # {lit}`f...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Access public import Init.Data.Iterators.Consumers.Partial public import Init.Data.Iterators.Consume...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Partial public import Init.Data.Iterators.Consumers.Total public import Init.Data.Iterators.Consumers.Monadi...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic set_option linter.missingDocs true public section namespace Std /-- A wrapper around an iterator that provid...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Access public import Init.Data.Iterators.Consumers.Monadic.Collect public import Init.Data.Iterators...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic set_option doc.verso true set_option linter.missingDocs true public section namespace Std /-- A wrapper arou...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Loop public import Init.Data.Iterators.Consumers.Partial public import Init.Data.Iterators.Consumers...
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Returns `true` if the iterator yields no values. `O(|it|)` since the iterator may skip an unknown number of times before returning a result. Short-circuits upon encountering the first result. Only the first element of `it` is examined. If the iterator is not productive, this function might run forever. The variant `i...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Stream public import Init.Data.Iterators.Consumers.Monadic.Access set_option linter.missingDocs true public section namespace...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic public section namespace Std open Std.Iterators /-- Induction principle for finite iterators: One can define ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Lemmas.Consumers.Monadic public import Init.Data.Iterators.Lemmas.Consumers.Collect public import Init.Data.Iterators....
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Lemmas.Producers.Monadic public import Init.Data.Iterators.Lemmas.Producers.List
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Lemmas.Combinators.Append public import Init.Data.Iterators.Lemmas.Combinators.Attach public import Init.Data.Iterator...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers import Init.Data.Nat.Lemmas @[expose] public section /-! # List iterator This module provides an iterator...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Loop public import Init.Classical import Init.Data.Option.Lemmas import Init.ByCases import Init.Ome...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Loop public import Init.Classical import Init.ByCases import Init.Omega @[expose] public section /...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic public section namespace Std universe v u v' u' section ULiftT namespace Iterators /-- `ULiftT....
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Loop public section namespace Std.Iterators.Types /-- Internal state of the `attachWith` combinat...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.PostconditionMonad public import Init.Data.Iterators.Consumers.Monadic.Loop import Init.PropLemmas public section /-...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Monadic.FilterMap import Init.Data.Option.Lemmas /-! # Monadic `flatMap` combinator This file provides t...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic set_option linter.missingDocs true public section namespace Std open Std.Iterators /-- `it.IsPlausibleNthOut...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Partial public import Init.Data.Iterators.Consumers.Monadic.Total public import Init.WFExtrinsicFix ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic set_option linter.missingDocs true public section namespace Std /-- A wrapper around an iterator that provid...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic set_option doc.verso true set_option linter.missingDocs true public section namespace Std /-- A wrapper arou...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Consumers.Monadic.Partial public import Init.Data.Iterators.Internal.LawfulMonadLiftFunction public import Init.WFExtr...
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@[always_inline, inline, deprecated IterM.allM (since := "2025-12-04")] def IterM.Partial.allM {α β : Type w} {m : Type w → Type w'} [Monad m] [Iterator α m β] [IteratorLoop α m m] (p : β → m (ULift Bool)) (it : IterM.Partial (α := α) m β) : m (ULift Bool) := do it.it.allM p set_option doc.verso true in /-- ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Basic public section namespace Std open Std.Iterators /-- Induction principle for finite monadic iterators: One can...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Producers.List import Init.Data.Iterators.Lemmas.Consumers.Collect import Init.Data.Iterators.Lemmas.Producers.Monadic...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Lemmas.Producers.Monadic.List
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Data.Iterators.Combinators.Append public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Append public import Init.Data.Iterato...