smoothingSeminorm_map_one_le_one

∀ {R : Type u_1} [inst : CommRing R] (μ : RingSeminorm R) (hμ1 : μ 1 ≤ 1) (hna : IsNonarchimedean ⇑μ),
  (smoothingSeminorm μ hμ1 hna) 1 ≤ 1

If μ 1 ≤ 1 and μ is nonarchimedean, then smoothingSeminorm μ 1 ≤ 1.

Defined in: Mathlib.Analysis.Normed.Unbundled.SmoothingSeminorm
Cited by: 0 results in Mathlib
Foundations: Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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