Theorems · Theorem · algebraic topology
SSet.RelativeMorphism.Homotopy.ext_iff
∀ {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 = y ↔ x.h = y.h- Cited by
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- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.RelativeMorphismstatement and proof · cited by 39
- SSet.RelativeMorphism.Homotopy.hstatement and proof · cited by 16
- SSet.RelativeMorphism.Homotopystatement and proof · cited by 14
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