Theorems · Definition · category theory
CategoryTheory.Core.isoMk
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → {x y : CategoryTheory.Core C} → (x.of ≅ y.of) → (x ≅ y)Construct an isomorphism in Core C from an isomorphism in C.
- Defined in
- Mathlib.CategoryTheory.Core
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Isostatement and proof · cited by 3,963
- Equiv.symmproof · cited by 3,681
- CategoryTheory.Core.ofstatement and proof · cited by 94
- CategoryTheory.Corestatement and proof · cited by 85
- CategoryTheory.Groupoid.isoEquivHomproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Pith.pseudofunctorToPithproof · cited by 10
- CategoryTheory.Core.isoMk_hom_isostatement and proof · cited by 0
- CategoryTheory.Core.isoMk_inv_isostatement and proof · cited by 0