Theorems · Theorem · ring theory
IsSelfAdjoint.mul_star_self
∀ {R : Type u_1} [inst : Mul R] [inst_1 : StarMul R] (x : R), IsSelfAdjoint (x * star x)- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
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.
- Star.starstatement and proof · cited by 1,082
- IsSelfAdjointstatement and proof · cited by 545
- StarMulstatement and proof · cited by 195
- star_starproof · cited by 135
- IsSelfAdjoint.star_mul_selfproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.isStarNormal_iff_norm_eq_adjointproof · cited by 2
- StarSubalgebra.coe_isUnitproof · cited by 1