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Theorems · Definition · category theory

CategoryTheory.Limits.BinaryBicone.ofIso

{C : Type uC} →
  [inst : CategoryTheory.Category.{uC', uC} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {P P' Q Q' : C} →
        CategoryTheory.Limits.BinaryBicone P Q → (P ≅ P') → (Q ≅ Q') → CategoryTheory.Limits.BinaryBicone P' Q'

Transport a binary bicone via isomorphisms.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
Cited by
6 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms
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CategoryTheory.Limits.BinaryBiproductData.ofIso · cited by 2BinaryBiproductData.ofIsoCategoryTheory.Limits.BinaryBicone.ofIso_snd · cited by 0BinaryBicone.ofIso_sndCategoryTheory.Limits.BinaryBicone.IsBilimit.ofIso · cited by 0IsBilimit.ofIsoCategoryTheory.Limits.BinaryBiproductData.ofIso_bicone · cited by 0BinaryBiproductData.ofIso…CategoryTheory.Limits.BinaryBicone.ofIso_fst · cited by 0BinaryBicone.ofIso_fstCategoryTheory.Limits.BinaryBicone.ofIso_inl · cited by 0BinaryBicone.ofIso_inlCategoryTheory.Limits.BinaryBicone.ofIso_inr · cited by 0BinaryBicone.ofIso_inrCategoryTheory.Limits.BinaryBicone.ofIso_pt · cited by 0BinaryBicone.ofIso_ptCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.Iso · cited by 3963CategoryTheory.IsoCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.BinaryBicone · cited by 111Limits.BinaryBiconeCategoryTheory.Limits.BinaryBicone.pt · cited by 95BinaryBicone.ptCategoryTheory.Limits.BinaryBicone.snd · cited by 48BinaryBicone.sndCategoryTheory.Limits.BinaryBicone.fst · cited by 48BinaryBicone.fstCategoryTheory.Limits.BinaryBicone.inl · cited by 47BinaryBicone.inlCategoryTheory.Limits.BinaryBicone.inr · cited by 47BinaryBicone.inrBinaryBicone.ofIsoCITED BYCITES

Cites12

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