Theorems · Theorem · functional analysis
sub_ball_zero
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] (δ : ℝ) (s : Set E), s - Metric.ball 0 δ = Metric.thickening δ s- Defined in
- Mathlib.Analysis.Normed.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- sub_eq_add_negproof · cited by 1,023
- Metric.ballstatement and proof · cited by 735
- neg_zeroproof · cited by 542
- Set.substatement · cited by 136
- Metric.thickeningstatement and proof · cited by 130
- neg_ballproof · cited by 5
- add_ball_zeroproof · cited by 4
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