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Theorems · Theorem · category theory

SemiSimplexCategory.homEquiv_comp

∀ {a b c : SemiSimplexCategory} (f : a ⟶ b) (g : b ⟶ c),
  SemiSimplexCategory.homEquiv (CategoryTheory.CategoryStruct.comp f g) =
    RelEmbedding.trans (SemiSimplexCategory.homEquiv f) (SemiSimplexCategory.homEquiv g)
Defined in
Mathlib.AlgebraicTopology.SimplexCategory.SemiSimplexCategory
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Foundations
Depth 18 from the axioms · uses propext, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compEquiv · cited by 8337EquivOrderEmbedding · cited by 619OrderEmbeddingRelEmbedding.trans · cited by 27RelEmbedding.transSemiSimplexCategory · cited by 15SemiSimplexCategorySemiSimplexCategory.len · cited by 6SemiSimplexCategory.lenSemiSimplexCategory.homEquiv · cited by 4SemiSimplexCategory.homEq…SemiSimplexCategory.homEquiv_…CITED BYCITES

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