Theorems · Definition · group theory
ZPow.zpow
{G : Type u} → [self : ZPow G] → ℤ → G → GThe power operation: a ^ n = a * ··· * a; a ^ (-n) = a⁻¹ * ··· a⁻¹ (n times)
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- ZPow
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZPowstatement and proof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- DivInvMonoid.extproof · cited by 2
- zpow_eq_powstatement · cited by 0
- Homeomorph.zpow_defstatement and proof · cited by 0