Theorems · Theorem · functional analysis
IsSelfAdjoint.neg_algebraMap_norm_le_self
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {a : A},
autoParam (IsSelfAdjoint a) IsSelfAdjoint.neg_algebraMap_norm_le_self._auto_1 → -(algebraMap ℝ A) ‖a‖ ≤ a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 312 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- Norm.normstatement · cited by 5,413
- Algebra.algebraMapstatement and proof · cited by 4,706
- StarOrderedRingstatement and proof · cited by 587
- IsSelfAdjointstatement and proof · cited by 545
- norm_negproof · cited by 190
- CStarAlgebrastatement and proof · cited by 123
- neg_leproof · cited by 27
- IsSelfAdjoint.le_algebraMap_norm_selfproof · cited by 7
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