Theorems · Theorem · category theory
CategoryTheory.TwistShiftData.assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : Type w} [inst_1 : AddMonoid A]
[inst_2 : CategoryTheory.HasShift C A] (self : CategoryTheory.TwistShiftData C A) (a b c : A),
self.z (a + b) c * self.z a b = self.z a (b + c) * self.z b c- Defined in
- Mathlib.CategoryTheory.Shift.Twist
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CategoryTheory.Functor.idstatement · cited by 3,333
- AddMonoidstatement and proof · cited by 2,864
- Unitsstatement · cited by 2,804
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.CatCenterstatement · cited by 53
- CategoryTheory.TwistShiftDatastatement and proof · cited by 16
- CategoryTheory.TwistShiftData.zstatement · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.TwistShiftData.z_zero_rightproof · cited by 1
- CategoryTheory.TwistShiftData.z_zero_leftproof · cited by 0