Theorems · Theorem · category theory
CategoryTheory.Subobject.isoOfMkEqMk_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {B A₁ A₂ : C} (f : A₁ ⟶ B) (g : A₂ ⟶ B)
[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).hom = CategoryTheory.Subobject.ofMkLEMk f g ⋯- Defined in
- Mathlib.CategoryTheory.Subobject.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.mkstatement and proof · cited by 109
- CategoryTheory.Subobject.ofMkLEMkstatement · cited by 18
- CategoryTheory.Subobject.isoOfMkEqMkstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.map_obj_injectiveproof · cited by 3
- CategoryTheory.Subobject.mk_lt_mk_of_commproof · cited by 2