Theorems · Theorem · functional analysis
ball_one_mul_singleton
∀ {E : Type u_1} [inst : SeminormedCommGroup E] (δ : ℝ) (x : E), Metric.ball 1 δ * {x} = Metric.ball x δ- Defined in
- Mathlib.Analysis.Normed.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- one_mulproof · cited by 2,841
- Metric.ballstatement and proof · cited by 735
- Set.mulstatement · cited by 297
- SeminormedCommGroupstatement and proof · cited by 191
- div_inv_eq_mulproof · cited by 53
- Set.image_mul_rightproof · cited by 24
- Set.mul_singletonproof · cited by 13
- Metric.preimage_mul_right_ballproof · cited by 1
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