Theorems · Theorem · functional analysis

SeminormFamily.basisSets_smul_right

∀ {R : Type u_1} {E : Type u_6} {ι : Type u_9} [inst : SeminormedRing R] [inst_1 : AddCommGroup E] [inst_2 : Module R E]
  (p : SeminormFamily R E ι) (v : E), ∀ U ∈ p.basisSets, ∀ᶠ (x : R) in nhds 0, x • v ∈ U

Defined in

Mathlib.Analysis.LocallyConvex.WithSeminorms

Cited by

0 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedRingAddCommGroupModule