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Theorems · Definition · category theory

TopPair.ofHom

{X Y : TopPair} →
  (f : TopPair.fst ⟶ TopPair.fst) →
    (g : TopPair.snd ⟶ TopPair.snd) →
      autoParam (CategoryTheory.CategoryStruct.comp g TopPair.map = CategoryTheory.CategoryStruct.comp TopPair.map f)
          TopPair.ofHom._auto_1 →
        (X ⟶ Y)

Construct a morphism in TopPair from its components.

Defined in
Mathlib.Topology.Category.TopPair
Cited by
4 results in Mathlib
Foundations
Depth 65 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.

TopPair.incl · cited by 28TopPair.inclTopPair.diag · cited by 2TopPair.diagTopPair.inclAdjProj₁ · cited by 2TopPair.inclAdjProj₁TopPair.proj₁AdjDiag · cited by 2TopPair.proj₁AdjDiagTopPair.inclAdjProj₁_counit_app · cited by 0TopPair.inclAdjProj₁_coun…TopPair.incl_map · cited by 0TopPair.incl_mapTopPair.ofHom.congr_simp · cited by 0ofHom.congr_simpTopPair.j · cited by 0TopPair.jTopPair.proj₁AdjDiag_unit_app · cited by 0TopPair.proj₁AdjDiag_unit…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compTop.top · cited by 9680Top.topCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…TopCat · cited by 1889TopCatTopPair · cited by 67TopPairTopCat.isEmbedding · cited by 67TopCat.isEmbeddingTopPair.fst · cited by 21TopPair.fstTopPair.snd · cited by 21TopPair.sndCategoryTheory.MorphismProperty.Arrow · cited by 17MorphismProperty.ArrowTopPair.map · cited by 14TopPair.mapCategoryTheory.MorphismProperty.Arrow.homMk · cited by 1Arrow.homMkTopPair.ofHomCITED BYCITES

Cites13

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Cited by9

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