Theorems · Theorem · functional analysis
IsSelfAdjoint.cfc_arg
∀ {A : Type u_1} [inst : CStarAlgebra A] (u : A), IsSelfAdjoint (cfc (Complex.ofReal ∘ Complex.arg) u)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 311 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.ofRealstatement and proof · cited by 1,654
- Star.starproof · cited by 1,082
- IsSelfAdjointstatement · cited by 545
- cfcstatement and proof · cited by 228
- Complex.argstatement and proof · cited by 220
- CStarAlgebrastatement and proof · cited by 123
- IsStarNormalstatement and proof · cited by 117
- Complex.conj_ofRealproof · cited by 41
- cfc.congr_simpproof · cited by 16
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