Theorems · Theorem · ring theory
IsSelfAdjoint.isStarNormal
∀ {R : Type u_3} [inst : Mul R] [inst_1 : Star R] {x : R}, IsSelfAdjoint x → IsStarNormal x- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsSelfAdjointstatement and proof · cited by 545
- Starstatement and proof · cited by 496
- IsStarNormalstatement · cited by 117
- IsSelfAdjoint.star_eqproof · cited by 58
Cited by8
Results whose statement or proof uses this declaration.
- cfc_real_eq_complexproof · cited by 4
- cfcₙ_real_eq_complexproof · cited by 3
- isSelfAdjoint_iff_isStarNormal_and_quasispectrumRestrictsproof · cited by 2
- IsSelfAdjoint.norm_add_eq_maxproof · cited by 2
- cfcHom_real_eq_restrictstatement and proof · cited by 0
- IsStarProjection.isStarNormalproof · cited by 0
- cfcₙHom_real_eq_restrictstatement and proof · cited by 0
- IsSelfAdjoint.self_add_I_smul_cfcSqrt_sub_sq_mem_unitaryproof · cited by 0