Theorems · Theorem · category theory
CategoryTheory.shiftComm_symm
∀ {C : Type u} {A : Type u_1} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : AddCommMonoid A]
[inst_2 : CategoryTheory.HasShift C A] (X : C) (i j : A),
(CategoryTheory.shiftComm X i j).symm = CategoryTheory.shiftComm X j i- Defined in
- Mathlib.CategoryTheory.Shift.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- AddCommMonoidstatement and proof · cited by 12,281
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Iso.symmstatement · cited by 993
- CategoryTheory.Iso.extproof · cited by 166
- CategoryTheory.NatTrans.congr_appproof · cited by 119
- CategoryTheory.shiftCommstatement · cited by 9
- CategoryTheory.shiftFunctorComm_symmproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.shiftComm_hom_compproof · cited by 1
- CategoryTheory.shiftComm'proof · cited by 1