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Theorems · Theorem · algebraic topology

SSet.Truncated.Edge.ext

∀ {X : SSet.Truncated 2} {x₀ x₁ : X.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge._proof_1 })}
  {x y : SSet.Truncated.Edge x₀ x₁}, x.edge = y.edge → x = y
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated
Cited by
5 results in Mathlib
Foundations
Depth 38 from the axioms · uses propext, Quot.sound
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Around this declaration

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

SSet.Edge.ext · cited by 3Edge.extSSet.Truncated.HomotopyCategory.congr_arrowMk_homMk · cited by 1HomotopyCategory.congr_ar…SSet.OneTruncation₂.hom_ext · cited by 1OneTruncation₂.hom_extSSet.Truncated.Edge.map_id · cited by 1Edge.map_idSSet.Truncated.Edge.ext_iff · cited by 0Edge.ext_iffDFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSimplexCategory · cited by 2204SimplexCategoryQuiver.Hom.op · cited by 1948Hom.opSimplexCategory.len · cited by 542SimplexCategory.lenSimplexCategory.Truncated · cited by 236SimplexCategory.TruncatedSSet.Truncated · cited by 214SSet.TruncatedSSet.Truncated.Edge · cited by 81Truncated.EdgeSimplexCategory.Truncated.δ₂ · cited by 46Truncated.δ₂SSet.Truncated.Edge.edge · cited by 27Edge.edgeEdge.extCITED BYCITES

Cites13

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Cited by5

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