Theorems · Theorem · category theory
CategoryTheory.shiftFunctorComm_symm
∀ (C : Type u) {A : Type u_1} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : AddCommMonoid A]
[inst_2 : CategoryTheory.HasShift C A] (i j : A),
(CategoryTheory.shiftFunctorComm C i j).symm = CategoryTheory.shiftFunctorComm C j i- Defined in
- Mathlib.CategoryTheory.Shift.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.Functorstatement · cited by 16,252
- AddCommMonoidstatement and proof · cited by 12,281
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.shiftFunctorstatement and proof · cited by 1,553
- add_commproof · cited by 1,535
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Iso.symmstatement and proof · cited by 993
- CategoryTheory.Iso.transproof · cited by 566
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.shiftComm_symmproof · cited by 2