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Theorems · Theorem · algebraic topology

SSet.RelativeMorphism.ext

∀ {X Y : SSet} {A : X.Subcomplex} {B : Y.Subcomplex} {φ : A.toSSet ⟶ B.toSSet} {x y : SSet.RelativeMorphism A B φ},
  x.map = y.map → x = y
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.RelativeMorphism
Cited by
1 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.RelativeMorphism.ext_iff · cited by 0RelativeMorphism.ext_iffQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.toSSet · cited by 315Subcomplex.toSSetSSet.Subcomplex.ι · cited by 136Subcomplex.ιSSet.RelativeMorphism.map · cited by 51RelativeMorphism.mapSSet.RelativeMorphism · cited by 39SSet.RelativeMorphismRelativeMorphism.extCITED BYCITES

Cites10

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Cited by1

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