Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.op_isomorphisms
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C],
(CategoryTheory.MorphismProperty.isomorphisms C).op = CategoryTheory.MorphismProperty.isomorphisms Cᵒᵖ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 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.
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.Homproof · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.MorphismProperty.opstatement and proof · cited by 71
- CategoryTheory.MorphismProperty.isomorphismsstatement and proof · cited by 66
- CategoryTheory.MorphismProperty.extproof · cited by 61
- CategoryTheory.isIso_unop_iffproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.isLocalization'proof · cited by 1
- CategoryTheory.MorphismProperty.isomorphisms_opproof · cited by 0