| import OAI.Algebra.FormulaHitting.Hitting | |
| import OAI.Algebra.FormulaHitting.FormulaBridge | |
| import OAI.Algebra.FormulaHitting.GeneratorBridge | |
| namespace OAI | |
| namespace NCHitting | |
| universe u | |
| theorem complete_result : NCHittingSpecification.CompleteTheorem.{u} := by | |
| intro n s hn hs | |
| apply NCHittingSpecification.completeClaim_of_hitting hn hs | |
| intro F instField instCharZero f hsize hf | |
| have hi := NCHitting.universal_hitting n s hn hs F f.toImplementation | |
| (by simpa using hsize) (by simpa using hf) | |
| intro hz | |
| apply hi | |
| exact (f.toImplementation_eval (fun i => Matrix.of | |
| (fun r q => (NCHittingSpecification.expectedEntry n s i r q : F)))).trans hz | |
| end NCHitting | |
| end OAI | |