Mathlib Map

Theorems · Theorem · group theory

MulOpposite.op_zpow

∀ {α : Type u_1} [inst : DivInvMonoid α] (x : α) (z : ℤ), MulOpposite.op (x ^ z) = MulOpposite.op x ^ z
Defined in
Mathlib.Algebra.Group.Opposite
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
DivInvMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

star_zpow · cited by 1star_zpowstar_zpow₀ · cited by 1star_zpow₀MulOpposite · cited by 1135MulOppositeMulOpposite.op · cited by 520MulOpposite.opDivInvMonoid · cited by 103DivInvMonoidMulOpposite.op_zpowCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.