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Theorems · Theorem · algebraic topology

SSet.Truncated.HomotopyCategory.homMk_id

∀ {V : SSet.Truncated 2} (x : V.obj (Opposite.op { obj := { len := 0 }, property := SSet.OneTruncation₂._proof_1 })),
  SSet.Truncated.HomotopyCategory.homMk (SSet.Truncated.Edge.id x) =
    CategoryTheory.CategoryStruct.id (SSet.Truncated.HomotopyCategory.mk x)
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.HomotopyCat
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Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idSimplexCategory · cited by 2204SimplexCategoryCategoryTheory.Functor.map_id · cited by 616Functor.map_idSimplexCategory.len · cited by 542SimplexCategory.lenSimplexCategory.Truncated · cited by 236SimplexCategory.TruncatedSSet.Truncated · cited by 214SSet.TruncatedSSet.Truncated.Edge · cited by 81Truncated.EdgeSSet.Truncated.HomotopyCategory · cited by 54Truncated.HomotopyCategorySSet.Truncated.HomotopyCategory.mk · cited by 37HomotopyCategory.mkSSet.Truncated.HomotopyCategory.homMk · cited by 24HomotopyCategory.homMkSSet.Truncated.Edge.id · cited by 20Edge.idHomotopyCategory.homMk_idCITED BYCITES

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