Theorems · Theorem · algebraic topology
SSet.N.map_monoOfLE
∀ {X : SSet} [inst : X.Nonsingular] {x y : X.N} (h : x ≤ y),
(CategoryTheory.ConcreteCategory.hom (X.map (SSet.N.monoOfLE h).op)) y.simplex = x.simplex- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.Nonsingular
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- SimplexCategorystatement · cited by 2,204
- Quiver.Hom.opstatement · cited by 1,948
- TypeCat.Funstatement · cited by 1,307
- SSetstatement and proof · cited by 1,283
- SSet.N.toSstatement · cited by 171
- SSet.S.dimstatement · cited by 162
- SSet.S.simplexstatement · cited by 111
Cited by3
Results whose statement or proof uses this declaration.
- SSet.N.stdSimplex_map_monoOfLE_yonedaEquiv_symm_simplexproof · cited by 1
- SSet.N.monoOfLE_compproof · cited by 1
- SSet.N.monoOfLE_eq_iffproof · cited by 0