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Theorems · Definition · category theory

CategoryTheory.Limits.PushoutCocone.flip

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y Z : C} →
      {f : X ⟶ Y} → {g : X ⟶ Z} → CategoryTheory.Limits.PushoutCocone f g → CategoryTheory.Limits.PushoutCocone g f

The pushout cocone obtained by flipping inl and inr.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Pullback.PullbackCone
Cited by
4 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.hasPushout_symmetry · cited by 18Limits.hasPushout_symmetryCategoryTheory.Limits.PushoutCocone.flipIsColimit · cited by 6PushoutCocone.flipIsColim…CategoryTheory.Limits.PushoutCocone.isColimitOfFlip · cited by 1PushoutCocone.isColimitOf…CategoryTheory.Limits.botSquareIsPushout · cited by 0Limits.botSquareIsPushoutCategoryTheory.Limits.PushoutCocone.flipFlipIso · cited by 0PushoutCocone.flipFlipIsoCategoryTheory.Limits.PushoutCocone.flip_inl · cited by 0PushoutCocone.flip_inlCategoryTheory.Limits.PushoutCocone.flip_inr · cited by 0PushoutCocone.flip_inrCategoryTheory.Limits.PushoutCocone.flip_pt · cited by 0PushoutCocone.flip_ptCategoryTheory.Limits.PushoutCocone.pasteVertFlip · cited by 0PushoutCocone.pasteVertFl…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Limits.PushoutCocone.mk · cited by 89PushoutCocone.mkCategoryTheory.Limits.PushoutCocone · cited by 66Limits.PushoutCoconeCategoryTheory.Limits.PushoutCocone.inl · cited by 58PushoutCocone.inlCategoryTheory.Limits.PushoutCocone.inr · cited by 58PushoutCocone.inrPushoutCocone.flipCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.