Theorems · Theorem · functional analysis
CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] (a : A) (n : ℕ),
autoParam (0 ≤ a) CStarAlgebra.nnnorm_le_natCast_iff_of_nonneg._auto_1 → (‖a‖₊ ≤ ↑n ↔ a ≤ ↑n)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 321 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Algebra.algebraMapproof · cited by 4,706
- NNRealstatement and proof · cited by 4,310
- NNNorm.nnnormstatement and proof · cited by 952
- StarOrderedRingstatement and proof · cited by 587
- map_natCastproof · cited by 134
- CStarAlgebrastatement and proof · cited by 123
- CStarAlgebra.nnnorm_le_iff_of_nonnegproof · cited by 1
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