Theorems · Theorem · algebraic topology
SSet.Truncated.Edge.CompStruct.exists_of_simplex
∀ {X : SSet.Truncated 2}
(s : X.obj (Opposite.op { obj := { len := 2 }, property := SSet.Truncated.Edge.CompStruct._proof_1 })),
∃ x₀ x₁ x₂ e₀₁ e₁₂ e₀₂ h, h.simplex = s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categoryproof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorproof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- FunLikeproof · cited by 2,560
- SimplexCategorystatement and proof · cited by 2,204
- Quiver.Hom.opproof · cited by 1,948
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Edge.CompStruct.exists_of_simplexproof · cited by 0