Theorems · Theorem · ring theory
Unitary.mem_iff_star_mul_self
∀ {R : Type u_1} [inst : CommMonoid R] [inst_1 : StarMul R] {U : R}, U ∈ unitary R ↔ star U * U = 1- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidStarMul
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- mul_commproof · cited by 2,262
- Star.starstatement and proof · cited by 1,082
- unitarystatement · cited by 207
- StarMulstatement and proof · cited by 195
- Unitary.mem_iffproof · cited by 7
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