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Theorems · Theorem · category theory

CategoryTheory.Limits.inl_eq_inr_of_epi_eq

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) [inst_1 : CategoryTheory.Epi f],
  CategoryTheory.Limits.pushout.inl f f = CategoryTheory.Limits.pushout.inr f f
Defined in
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Mono
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Epi
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Around this declaration

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CategoryTheory.Limits.pullback_symmetry_hom_of_epi_eq · cited by 0Limits.pullback_symmetry_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Epi · cited by 688CategoryTheory.EpiCategoryTheory.Limits.span · cited by 294Limits.spanCategoryTheory.Limits.pushout · cited by 284Limits.pushoutCategoryTheory.Limits.pushout.inr · cited by 193pushout.inrCategoryTheory.Limits.pushout.inl · cited by 192pushout.inlCategoryTheory.Limits.ColimitCocone.cocone · cited by 42ColimitCocone.coconeCategoryTheory.Limits.getColimitCocone · cited by 5Limits.getColimitCoconeCategoryTheory.Limits.PushoutCocone.inl_eq_inr_of_epi_eq · cited by 3PushoutCocone.inl_eq_inr_…Limits.inl_eq_inr_of_epi_eqCITED BYCITES

Cites10

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Cited by1

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