Theorems · Theorem · category theory
CategoryTheory.NatIso.op_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F G : CategoryTheory.Functor C D} (α : F ≅ G), (CategoryTheory.NatIso.op α).hom = CategoryTheory.NatTrans.op α.hom- Defined in
- Mathlib.CategoryTheory.Opposites
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Functorstatement and proof · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.opstatement · cited by 997
- CategoryTheory.NatTrans.opstatement · cited by 41
- CategoryTheory.NatIso.opstatement and proof · cited by 25
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.NatIso.op_isoWhiskerLeftproof · cited by 0
- CategoryTheory.NatIso.op_isoWhiskerRightproof · cited by 0
- CategoryTheory.NatIso.op_leftUnitorproof · cited by 0
- CategoryTheory.NatIso.op_rightUnitorproof · cited by 0
- CategoryTheory.NatIso.op_associatorproof · cited by 0