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Theorems · Theorem · general topology

Function.update_eventuallyEq_cofinite

∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq α] (f : α → β) (a : α) (b : β),
  Function.update f a b =ᶠ[Filter.cofinite] f
Defined in
Mathlib.Order.Filter.Cofinite
Cited by
1 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Function.update_eventuallyEq_nhdsNE · cited by 1Function.update_eventuall…Filter.EventuallyEq · cited by 1912Filter.EventuallyEqSet.Finite · cited by 1814Set.FiniteFunction.update · cited by 502Function.updateFilter.cofinite · cited by 251Filter.cofinitecompl_compl · cited by 229compl_complFilter.EventuallyEq.filter_mono · cited by 59EventuallyEq.filter_monoFunction.update_eventuallyEq · cited by 1Function.update_eventuall…Function.update_eventuallyEq_…CITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.