Theorems · Theorem · ring theory
IsSelfAdjoint.pow
∀ {R : Type u_1} [inst : Monoid R] [inst_1 : StarMul R] {x : R}, IsSelfAdjoint x → ∀ (n : ℕ), IsSelfAdjoint (x ^ n)- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IsSelfAdjointstatement and proof · cited by 545
- StarMulstatement and proof · cited by 195
- IsSelfAdjoint.star_eqproof · cited by 58
- star_powproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.nnnorm_pow_two_powproof · cited by 2
- spectrum_star_mul_self_nonnegproof · cited by 1
- Matrix.IsHermitian.powproof · cited by 0
- Matrix.posSemidef_opNorm_smul_gram_sub_gramproof · cited by 0