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Theorems · Theorem · general topology

Filter.BoundedAtFilter.add

∀ {α : Type u_2} {β : Type u_3} [inst : SeminormedAddCommGroup β] {l : Filter α} {f g : α → β},
  l.BoundedAtFilter f → l.BoundedAtFilter g → l.BoundedAtFilter (f + g)
Defined in
Mathlib.Order.Filter.ZeroAndBoundedAtFilter
Cited by
1 results in Mathlib
Foundations
Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.boundedFilterSubmodule · cited by 1Filter.boundedFilterSubmo…OnePoint.IsBoundedAt.add · cited by 0IsBoundedAt.addFilter · cited by 8121FilterSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupAsymptotics.IsBigO.add · cited by 21IsBigO.addFilter.BoundedAtFilter · cited by 14Filter.BoundedAtFilterBoundedAtFilter.addCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.