Theorems · Theorem · category theory
CategoryTheory.Equivalence.leftOp_functor_map
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(e : C ≌ Dᵒᵖ) {X Y : Cᵒᵖ} (f : X ⟶ Y), e.leftOp.functor.map f = (e.functor.map f.unop).unop- Defined in
- Mathlib.CategoryTheory.Opposites
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Equivalence.opstatement · cited by 57
- CategoryTheory.opOpEquivalencestatement · cited by 34
- CategoryTheory.Equivalence.leftOpstatement and proof · cited by 8
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