smoothingFun_apply_of_map_mul_eq_mul

∀ {R : Type u_1} [inst : CommRing R] (μ : RingSeminorm R),
  μ 1 ≤ 1 → ∀ {x : R}, (∀ (y : R), μ (x * y) = μ x * μ y) → smoothingFun μ x = μ x

If μ 1 ≤ 1 and ∀ y : R, μ (x * y) = μ x * μ y, then smoothingFun μ x = μ x.

Defined in: Mathlib.Analysis.Normed.Unbundled.SmoothingSeminorm
Cited by: 2 results in Mathlib
Foundations: Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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