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Theorems · Theorem · algebraic topology

SSet.Truncated.Edge.exists_of_simplex

∀ {X : SSet.Truncated 2} (s : X.obj (Opposite.op { obj := { len := 1 }, property := SSet.Truncated.Edge._proof_2 })),
  ∃ x₀ x₁ e, e.edge = s
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated
Cited by
2 results in Mathlib
Foundations
Depth 36 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.Truncated.HomotopyCategory.homToNerveMk_comp · cited by 1HomotopyCategory.homToNer…SSet.OneTruncation₂.nerve_hom_ext · cited by 0OneTruncation₂.nerve_hom_…DFunLike.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.edgeSSet.Truncated.Edge.mk' · cited by 4Edge.mk'Edge.exists_of_simplexCITED BYCITES

Cites14

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Cited by2

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