Theorems · Theorem · ring theory
isStarNormal_of_mem_unitary
∀ {R : Type u_1} [inst : Monoid R] [inst_1 : StarMul R] {u : R}, u ∈ unitary R → IsStarNormal u- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 30 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
- Submonoidstatement · cited by 3,086
- unitarystatement and proof · cited by 207
- StarMulstatement and proof · cited by 195
- IsStarNormalstatement · cited by 117
Cited by3
Results whose statement or proof uses this declaration.
- unitary_iff_isStarNormal_and_spectrum_subset_unitaryproof · cited by 2
- Unitary.two_mul_one_sub_le_norm_sub_one_sqproof · cited by 2
- Unitary.norm_sub_one_sq_eqproof · cited by 2