Theorems · Theorem · functional analysis
CommCStarAlgebra.nnnorm_add_eq_max
∀ {A : Type u_1} [inst : NonUnitalCommCStarAlgebra A] {a b : A}, a * b = 0 → ‖a + b‖₊ = max ‖a‖₊ ‖b‖₊- Cited by
- 1 results in Mathlib
- Foundations
- Depth 307 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalCommCStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- NNReal.eqproof · cited by 201
- NonUnitalCommCStarAlgebrastatement and proof · cited by 11
- CommCStarAlgebra.norm_add_eq_maxproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CommCStarAlgebra.nnnorm_sum_eq_supproof · cited by 0