Theorems · Theorem · category theory

CategoryTheory.Limits.image.compIso.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) {Z : C} (g : Y ⟶ Z)
  [inst_1 : CategoryTheory.Limits.HasEqualizers C] [inst_2 : CategoryTheory.Limits.HasImage f]
  [inst_3 : CategoryTheory.IsIso g], CategoryTheory.Limits.image.compIso f g = CategoryTheory.Limits.image.compIso f g

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Images
Cited by: 0 results in Mathlib
Foundations: Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasEqualizers CategoryTheory.Limits.HasImage CategoryTheory.IsIso

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.IsIsostatement and proof · cited by 1,156
CategoryTheory.Limits.imagestatement · cited by 124
CategoryTheory.Limits.HasImagestatement and proof · cited by 107
CategoryTheory.Limits.HasEqualizersstatement and proof · cited by 60
CategoryTheory.Limits.image.compIsostatement and proof · cited by 7

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