Theorems · Theorem · general topology

Filter.boundedFilterSubmodule.congr_simp

∀ (𝕜 : Type u_1) {α : Type u_2} {β : Type u_3} [inst : SeminormedRing 𝕜] [inst_1 : SeminormedAddCommGroup β]
  [inst_2 : Module 𝕜 β] [inst_3 : IsBoundedSMul 𝕜 β] (l l_1 : Filter α),
  l = l_1 → Filter.boundedFilterSubmodule 𝕜 l = Filter.boundedFilterSubmodule 𝕜 l_1

Defined in

Mathlib.Order.Filter.ZeroAndBoundedAtFilter

Cited by

0 results in Mathlib

Foundations

Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedRingSeminormedAddCommGroupModuleIsBoundedSMul