Theorems · Theorem · category theory
CategoryTheory.Subobject.ofMkLEMk_refl
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {B A₁ : C} (f : A₁ ⟶ B) [inst_1 : CategoryTheory.Mono f],
CategoryTheory.Subobject.ofMkLEMk f f ⋯ = CategoryTheory.CategoryStruct.id A₁- Defined in
- Mathlib.CategoryTheory.Subobject.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Category.id_compproof · cited by 1,998
- le_rflstatement and proof · cited by 1,558
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.cancel_monoproof · cited by 435
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.mkstatement · cited by 109
- CategoryTheory.Subobject.ofMkLEMkstatement · cited by 18
- CategoryTheory.Subobject.ofMkLEMk_compproof · cited by 7
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