Theorems · Theorem · ring theory
Unitary.coe_star_mul_self
∀ {R : Type u_1} [inst : Monoid R] [inst_1 : StarMul R] (U : ↥(unitary R)), star ↑U * ↑U = 1- Defined in
- Mathlib.Algebra.Star.Unitary
- 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.
Cites7
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
- Star.starstatement · cited by 1,082
- Subtype.propproof · cited by 505
- unitarystatement and proof · cited by 207
- StarMulstatement and proof · cited by 195
- Unitary.star_mul_self_of_memproof · cited by 13
Cited by5
Results whose statement or proof uses this declaration.
- Unitary.toUnitsproof · cited by 18
- Unitary.star_mul_selfproof · cited by 3
- CStarRing.norm_coe_unitaryproof · cited by 2
- Matrix.IsHermitian.star_eigenvectorUnitary_mulVecproof · cited by 1
- Matrix.PosSemidef.trace_eq_zero_iffproof · cited by 0