Theorems · Theorem · functional analysis
CStarAlgebra.nnnorm_le_nnnorm_of_nonneg_of_le
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {a b : A},
autoParam (0 ≤ a) CStarAlgebra.nnnorm_le_nnnorm_of_nonneg_of_le._auto_1 → a ≤ b → ‖a‖₊ ≤ ‖b‖₊- Cited by
- 1 results in Mathlib
- Foundations
- Depth 321 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- CStarAlgebra.norm_le_norm_of_nonneg_of_leproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CStarAlgebra.nnnorm_sub_mul_self_leproof · cited by 1