| import OAI.Geometry.SingularHomology.SimplexSingularRealization | |
| import OAI.Geometry.SingularHomology.AffineSingularRealization | |
| namespace OAI | |
| noncomputable section | |
| namespace Problem340.SimplexSingularRealization | |
| theorem realize_eq_realizeInSimplex (k n : ℕ) : | |
| realize k n = AffineSingularRealization.realizeInSimplex k n := by | |
| apply SingularSubdivision.linearMap_ext | |
| intro v | |
| rw [realize_generator, AffineSingularRealization.realizeInSimplex_generator] | |
| rfl | |
| end Problem340.SimplexSingularRealization | |
| end | |
| end OAI | |