Theorems · Theorem · category theory
CategoryTheory.CatCenter.app_neg_one_zpow
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] (n : ℤ) (X : C),
(↑((-1) ^ n)).app X = n.negOnePow • CategoryTheory.CategoryStruct.id X- Defined in
- Mathlib.CategoryTheory.Center.NegOnePow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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 · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- mul_oneproof · cited by 3,885
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- one_smulproof · cited by 1,374
- neg_negproof · cited by 960
- pow_oneproof · cited by 894
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