Theorems · Theorem · functional analysis

SeminormFamily.basisSets_neg

∀ {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), ∀ U ∈ p.basisSets, ∃ V ∈ p.basisSets, V ⊆ (fun x => -x) ⁻¹' U

Defined in

Mathlib.Analysis.LocallyConvex.WithSeminorms

Cited by

0 results in Mathlib

Foundations

Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedRingAddCommGroupModule