Theorems · Theorem · category theory
CategoryTheory.Subobject.ofLE_refl
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {B : C} (X : CategoryTheory.Subobject B),
X.ofLE X ⋯ = CategoryTheory.CategoryStruct.id (CategoryTheory.Subobject.underlying.obj X)- Defined in
- Mathlib.CategoryTheory.Subobject.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites12
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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Category.id_compproof · cited by 1,998
- le_rflstatement and proof · cited by 1,558
- CategoryTheory.cancel_monoproof · cited by 435
- CategoryTheory.Subobjectstatement and proof · cited by 385
- CategoryTheory.Subobject.underlyingstatement · cited by 211
- CategoryTheory.Subobject.arrowproof · cited by 175
- CategoryTheory.Subobject.ofLEstatement · cited by 38
- CategoryTheory.Subobject.ofLE_arrowproof · cited by 23
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