Theorems · Theorem · functional analysis
NormedStarGroup.norm_star_le
∀ {E : Type u_1} {inst : SeminormedAddCommGroup E} {inst_1 : StarAddMonoid E} [self : NormedStarGroup E] (x : E),
‖star x‖ ≤ ‖x‖- Defined in
- Mathlib.Analysis.CStarAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedStarGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Star.starstatement · cited by 1,082
- StarAddMonoidstatement and proof · cited by 296
- NormedStarGroupstatement and proof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- norm_starproof · cited by 16