Theorems · Theorem · functional analysis
CStarAlgebra.inr_mem_Icc_iff_nnnorm_le
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {x : A},
↑x ∈ Set.Icc 0 1 ↔ 0 ≤ x ∧ ‖x‖₊ ≤ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 322 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.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement · cited by 5,565
- NNRealstatement · cited by 4,310
- Set.Iccstatement · cited by 1,702
- NNNorm.nnnormstatement · cited by 952
- StarOrderedRingstatement and proof · cited by 587
- Unitizationstatement · cited by 220
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- Unitization.inrstatement · cited by 109
- CStarAlgebra.inr_mem_Icc_iff_norm_leproof · cited by 1
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