Theorems · Theorem · algebraic topology
SSet.RelativeMorphism.Homotopy.ext
∀ {X Y : SSet} {A : X.Subcomplex} {B : Y.Subcomplex} {φ : A.toSSet ⟶ B.toSSet} {f g : SSet.RelativeMorphism A B φ}
{x y : f.Homotopy g}, x.h = y.h → x = y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- CategoryTheory.SemiCartesianMonoidalCategory.fstproof · cited by 184
Cited by1
Results whose statement or proof uses this declaration.
- SSet.RelativeMorphism.Homotopy.ext_iffproof · cited by 0