Theorems · Theorem · algebraic topology
SSet.N.monoOfLE_comp
∀ {X : SSet} [inst : X.Nonsingular] {x y z : X.N} (h : x ≤ y) (h' : y ≤ z),
CategoryTheory.CategoryStruct.comp (SSet.N.monoOfLE h) (SSet.N.monoOfLE h') = SSet.N.monoOfLE ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- LE.le.transstatement and proof · cited by 3,151
- SimplexCategorystatement · cited by 2,204
- Quiver.Hom.opproof · cited by 1,948
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Functor.map_compproof · cited by 734
- CategoryTheory.comp_applyproof · cited by 387
- SSet.N.toSstatement and proof · cited by 171
Cited by1
Results whose statement or proof uses this declaration.
- SSet.N.monoOfLE_comp_assocproof · cited by 0