Theorems · Theorem · field theory
Metric.unitSphere.coe_mul
∀ {𝕜 : Type u_1} [inst : SeminormedRing 𝕜] [inst_1 : NormMulClass 𝕜] [inst_2 : NormOneClass 𝕜]
(x y : ↑(Metric.sphere 0 1)), ↑(x * y) = ↑x * ↑y- Defined in
- Mathlib.Analysis.Normed.Field.UnitBall
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- SeminormedRingstatement and proof · cited by 446
- Metric.spherestatement and proof · cited by 371
- NormOneClassstatement and proof · cited by 136
- NormMulClassstatement and proof · cited by 66
Cited by1
Results whose statement or proof uses this declaration.
- fourier_add_half_inv_indexproof · cited by 1