Theorems · Theorem · category theory
CategoryTheory.oppositeShiftFunctorZero_hom_app
∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] (A : Type u_2) [inst_1 : AddMonoid A]
[inst_2 : CategoryTheory.HasShift C A] (X : CategoryTheory.OppositeShift C A),
(CategoryTheory.shiftFunctorZero (CategoryTheory.OppositeShift C A) A).hom.app X =
((CategoryTheory.shiftFunctorZero C A).inv.app (Opposite.unop X)).op- Defined in
- Mathlib.CategoryTheory.Shift.Opposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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 and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- AddMonoidstatement and proof · cited by 2,864
- Opposite.unopstatement and proof · cited by 2,231
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