Theorems · Theorem · category theory
CategoryTheory.Adjunction.commShift_of_rightAdjoint
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C}
(adj : F ⊣ G) (A : Type u_3) [inst_2 : AddGroup A] [inst_3 : CategoryTheory.HasShift C A]
[inst_4 : CategoryTheory.HasShift D A] [inst_5 : G.CommShift A], adj.CommShift A- Defined in
- Mathlib.CategoryTheory.Shift.Adjunction
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- AddGroupstatement and proof · cited by 4,410
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.shiftFunctorproof · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Adjunctionstatement and proof · cited by 524
- CategoryTheory.Adjunction.unitproof · cited by 387
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