Theorems · Inductive type · functional analysis
NonUnitalSeminormedRing
Type u_5 → Type u_5
A non-unital seminormed ring is a not-necessarily-unital ring
endowed with a seminorm which satisfies the inequality ‖x y‖ ≤ ‖x‖ ‖y‖.
- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by69
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.mulstatement and proof · cited by 63
- norm_mul_lestatement and proof · cited by 31
- RegularNormedAlgebrastatement · cited by 26
- ContinuousLinearMap.mulLeftRightstatement and proof · cited by 16
- nnnorm_mul_lestatement and proof · cited by 4
- ContinuousLinearMap.isometry_mulstatement and proof · cited by 4
- ContinuousLinearMap.mul_apply'statement and proof · cited by 3
- ContinuousMap.norm_add_eq_maxstatement and proof · cited by 3
- BoundedContinuousFunction.norm_add_eq_maxstatement and proof · cited by 3
- ContinuousLinearMap.opNorm_mul_applystatement and proof · cited by 3
- ContinuousLinearMap.mulₗᵢstatement and proof · cited by 2
- NonUnitalAlgHom.Lmulstatement and proof · cited by 2