Theorems · Theorem · functional analysis
Unitary.norm_sub_eq
∀ {A : Type u_1} [inst : CStarAlgebra A] (u v : ↥(unitary A)), ‖↑u - ↑v‖ = ‖↑(u * star v) - 1‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Submonoidstatement · cited by 3,086
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- Star.starstatement and proof · cited by 1,082
- unitarystatement and proof · cited by 207
- sub_mulproof · cited by 170
- CStarAlgebrastatement and proof · cited by 123
- Unitary.star_mul_self_of_memproof · cited by 13
- CStarRing.norm_mul_coe_unitaryproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Unitary.expUnitary_eq_mul_invproof · cited by 1