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Theorems · Theorem · Lie groups

NonarchimedeanRing.mul_subset

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

An open subgroup of a nonarchimedean ring contains the square of another one.

Defined in
Mathlib.Topology.Algebra.Nonarchimedean.Basic
Cited by
0 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingTopologicalSpaceNonarchimedeanRing

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