Theorems · Theorem · functional analysis
CFC.sqrt_le_sqrt
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A] (a b : A),
a ≤ b → CFC.sqrt a ≤ CFC.sqrt b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 331 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement · cited by 5,565
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsStarNormalstatement · cited by 117
- CFC.sqrtstatement · cited by 82
- CFC.monotone_sqrtproof · cited by 1
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