Theorems · Theorem · ring theory
star_pow
∀ {R : Type u} [inst : Monoid R] [inst_1 : StarMul R] (x : R) (n : ℕ), star (x ^ n) = star x ^ n- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Star.starstatement and proof · cited by 1,082
- StarMulstatement and proof · cited by 195
- MulEquiv.toMonoidHomproof · cited by 126
- MulOpposite.op_injectiveproof · cited by 37
- MonoidHom.map_powproof · cited by 30
- starMulEquivproof · cited by 7
- MulOpposite.op_powproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.powproof · cited by 4
- IsStarNormal.spectralRadius_eq_nnnormproof · cited by 0