Theorems · Theorem · category theory
CategoryTheory.Subobject.isoOfMkEqMk.congr_simp
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {B A₁ A₂ : C} (f f_1 : A₁ ⟶ B) (e_f : f = f_1)
(g g_1 : A₂ ⟶ B) (e_g : g = g_1) [inst_1 : CategoryTheory.Mono f] [inst_2 : CategoryTheory.Mono g]
(h : CategoryTheory.Subobject.mk f = CategoryTheory.Subobject.mk g),
CategoryTheory.Subobject.isoOfMkEqMk f g h = CategoryTheory.Subobject.isoOfMkEqMk f_1 g_1 ⋯- Defined in
- Mathlib.CategoryTheory.Subobject.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.mkstatement and proof · cited by 109
- CategoryTheory.Subobject.isoOfMkEqMkstatement and proof · cited by 7
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