Theorems · Inductive type · functional analysis
SeminormedRing
Type u_5 → Type u_5
A seminormed ring is a ring endowed with a seminorm which satisfies the inequality
‖x y‖ ≤ ‖x‖ ‖y‖.
- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 446 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · 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 by530
Results whose statement or proof uses this declaration.
- NormedAlgebrastatement · cited by 1,165
- Seminormstatement · cited by 272
- Bornology.IsVonNBoundedstatement and proof · cited by 136
- norm_powstatement and proof · cited by 106
- Submonoid.unitSpherestatement and proof · cited by 85
- Seminorm.ballstatement and proof · cited by 78
- Balancedstatement and proof · cited by 77
- SeminormFamilystatement and proof · cited by 68
- ContinuousLinearMap.lsmulstatement and proof · cited by 66
- Seminorm.compstatement and proof · cited by 53
- Seminorm.closedBallstatement and proof · cited by 45
- norm_algebraMap'statement and proof · cited by 39
Showing the 200 most cited of 530.