Theorems · Theorem · functional analysis
IsStarProjection.norm_le
∀ {E : Type u_2} [inst : NonUnitalNormedRing E] [inst_1 : StarRing E] [CStarRing E] (e : E),
IsStarProjection e → ‖e‖ ≤ 1- Defined in
- Mathlib.Analysis.CStarAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- StarRingstatement and proof · cited by 1,686
- sub_selfproof · cited by 996
- NonUnitalNormedRingstatement and proof · cited by 231
- mul_subproof · cited by 201
- IsStarProjectionstatement and proof · cited by 64
- CStarRingstatement and proof · cited by 61
- IsSelfAdjoint.star_eqproof · cited by 58
- IsIdempotentElem.eqproof · cited by 42
- IsStarProjection.isSelfAdjointproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.