Theorems · Definition · field theory
Subsemigroup.unitClosedBall
(𝕜 : Type u_2) → [inst : NonUnitalSeminormedRing 𝕜] → Subsemigroup 𝕜
Closed unit ball in a non-unital seminormed ring as a bundled Subsemigroup.
- Defined in
- Mathlib.Analysis.Normed.Field.UnitBall
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalSeminormedRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Metric.closedBallproof · cited by 704
- Subsemigroupstatement · cited by 323
- NonUnitalSeminormedRingstatement and proof · cited by 44
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.unitClosedBallproof · cited by 2