Theorems · Theorem · functional analysis
singleton_mul_sphere_one
∀ {E : Type u_1} [inst : SeminormedCommGroup E] (δ : ℝ) (x : E), {x} * Metric.sphere 1 δ = Metric.sphere x δ- Defined in
- Mathlib.Analysis.Normed.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
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Cites7
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
- mul_oneproof · cited by 3,885
- Metric.spherestatement and proof · cited by 371
- Set.mulstatement · cited by 297
- SeminormedCommGroupstatement and proof · cited by 191
- singleton_mul_sphereproof · cited by 3
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