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Theorems · Theorem · general topology

Filter.EventuallyEq.div

∀ {α : Type u} {β : Type v} [inst : Div β] {f f' g g' : α → β} {l : Filter α},
  f =ᶠ[l] g → f' =ᶠ[l] g' → f / f' =ᶠ[l] g / g'
Defined in
Mathlib.Order.Filter.Basic
Cited by
5 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
Div
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Around this declaration

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

MeasureTheory.AEStronglyMeasurable.div · cited by 2AEStronglyMeasurable.divlogDeriv_congr_nhdsNE · cited by 2logDeriv_congr_nhdsNEMeasureTheory.AEStronglyMeasurable.div₀ · cited by 0AEStronglyMeasurable.div₀Filter.EventuallyEq.fun_div · cited by 0EventuallyEq.fun_divlogDeriv_congr_nhds · cited by 0logDeriv_congr_nhdsFilter · cited by 8121FilterFilter.EventuallyEq · cited by 1912Filter.EventuallyEqFilter.EventuallyEq.comp₂ · cited by 15EventuallyEq.comp₂EventuallyEq.divCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.