Theorems · Theorem · category theory
CategoryTheory.shiftFunctorComm_eq_refl
∀ (C : Type u) {A : Type u_1} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : AddCommMonoid A]
[inst_2 : CategoryTheory.HasShift C A] (i : A),
CategoryTheory.shiftFunctorComm C i i =
CategoryTheory.Iso.refl ((CategoryTheory.shiftFunctor C i).comp (CategoryTheory.shiftFunctor C i))- Defined in
- Mathlib.CategoryTheory.Shift.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 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
- CategoryTheory.Functorstatement · cited by 16,252
- AddCommMonoidstatement and proof · cited by 12,281
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.shiftFunctorstatement and proof · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Iso.reflstatement and proof · cited by 727
- CategoryTheory.shiftFunctorAdd'proof · cited by 95
- CategoryTheory.shiftFunctorCommstatement · cited by 29
- CategoryTheory.shiftFunctorComm_eqproof · cited by 8
- CategoryTheory.Iso.symm_self_idproof · cited by 3
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