Download lean/OAI/Geometry/CylinderCovering/Rational/EqualityDefinitions.lean from roseking/openAI-math-dataset: direct link, hf CLI and curl.
- Browser
- Download file 557 Bytes
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https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Geometry/CylinderCovering/Rational/EqualityDefinitions.lean
- Command line
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hf download hf://datasets/roseking/openAI-math-dataset/lean/OAI/Geometry/CylinderCovering/Rational/EqualityDefinitions.lean
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curl -L -o EqualityDefinitions.lean https://huggingface.co/datasets/roseking/openAI-math-dataset/resolve/main/lean/OAI/Geometry/CylinderCovering/Rational/EqualityDefinitions.lean
557 Bytes
| import OAI.Geometry.CylinderCovering.Rational.RealizationDefinitions | |
| namespace OAI | |
| namespace SlopeRational | |
| def EqualityConfigurationStatement : Prop := | |
| ∃ C D : RuledApproximation.Cylinder, | |
| C.axis = RuledApproximation.vec3 1 0 0 ∧ | |
| D.axis = RuledApproximation.vec3 0 1 0 ∧ | |
| C.triangle ∧ D.triangle ∧ IsCompact C.base ∧ IsCompact D.base ∧ | |
| referenceTetrahedron ⊆ C.carrier ∪ D.carrier ∧ | |
| C.area = physicalScale / 8 ∧ D.area = physicalScale / 8 ∧ | |
| C.area + D.area = physicalScale / 4 | |
| end SlopeRational | |
| end OAI | |