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Theorems · Theorem · general topology

Filter.tendsto_eval_pi

∀ {ι : Type u_1} {α : ι → Type u_2} (f : (i : ι) → Filter (α i)) (i : ι),
  Filter.Tendsto (Function.eval i) (Filter.pi f) (f i)
Defined in
Mathlib.Order.Filter.Pi
Cited by
4 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Filter.map_eval_pi · cited by 2Filter.map_eval_piFilter.tendsto_piMap_pi · cited by 1Filter.tendsto_piMap_piFilter.pi_le_pi · cited by 1Filter.pi_le_piFilter.Eventually.eval_pi · cited by 1Eventually.eval_piFilter · cited by 8121FilterFilter.Tendsto · cited by 3814Filter.TendstoFunction.eval · cited by 140Function.evalFilter.pi · cited by 48Filter.piFilter.tendsto_comap · cited by 30Filter.tendsto_comapFilter.tendsto_iInf' · cited by 5Filter.tendsto_iInf'Filter.tendsto_eval_piCITED BYCITES

Cites6

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Cited by4

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