Theorems · Theorem · ring theory
IsStarProjection.isSelfAdjoint
∀ {R : Type u_1} [inst : Mul R] [inst_1 : Star R] {p : R}, IsStarProjection p → IsSelfAdjoint p- Defined in
- Mathlib.Algebra.Star.StarProjection
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsSelfAdjointstatement · cited by 545
- Starstatement and proof · cited by 496
- IsStarProjectionstatement and proof · cited by 64
Cited by18
Results whose statement or proof uses this declaration.
- IsStarProjection.nonnegproof · cited by 6
- IsStarProjection.le_tfaeproof · cited by 4
- IsStarProjection.sub_of_mul_eq_leftproof · cited by 3
- IsStarProjection.one_subproof · cited by 2
- IsStarProjection.sub_of_mul_eq_rightproof · cited by 1
- IsStarProjection.mul_right_and_mul_left_of_nonneg_of_leproof · cited by 1
- IsStarProjection.norm_leproof · cited by 1
- IsStarProjection.sub_iff_mul_eq_leftproof · cited by 1
- IsStarProjection.sub_iff_mul_eq_rightproof · cited by 0
- IsStarProjection.two_mul_sub_one_mem_unitaryproof · cited by 0
- IsStarProjection.addproof · cited by 0