Theorems · Theorem · category theory
CategoryTheory.Subobject.mapIsoToOrderIso_apply
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (e : X ≅ Y) (a : CategoryTheory.Subobject X),
(CategoryTheory.Subobject.mapIsoToOrderIso e) a = (CategoryTheory.Subobject.map e.hom).obj a- Defined in
- Mathlib.CategoryTheory.Subobject.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- RelIsostatement · cited by 456
- CategoryTheory.Subobjectstatement and proof · cited by 385
- CategoryTheory.Subobject.mapstatement · cited by 19
- CategoryTheory.Subobject.mapIsoToOrderIsostatement and proof · cited by 2
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