NonarchimedeanRing.left_mul_subset

∀ {R : Type u_1} [inst : Ring R] [inst_1 : TopologicalSpace R] [NonarchimedeanRing R] (U : OpenAddSubgroup R) (r : R),
  ∃ V, r • ↑V ⊆ ↑U

Given an open subgroup U and an element r of a nonarchimedean ring, there is an open subgroup V such that r • V is contained in U.

Defined in: Mathlib.Topology.Algebra.Nonarchimedean.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring TopologicalSpace NonarchimedeanRing

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