Theorems · Definition · algebraic topology
SSet.RelativeMorphism.Homotopy.refl
{X Y : SSet} →
{A : X.Subcomplex} → {B : Y.Subcomplex} → {φ : A.toSSet ⟶ B.toSSet} → (f : SSet.RelativeMorphism A B φ) → f.Homotopy fA relative morphism is homotopic to itself.
- 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.
Cites13
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.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexproof · cited by 499
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- CategoryTheory.SemiCartesianMonoidalCategory.fstproof · cited by 184
- SSet.RelativeMorphism.mapproof · cited by 51
- SSet.RelativeMorphismstatement and proof · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- SSet.RelativeMorphism.Homotopy.refl_hstatement and proof · cited by 0