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Theorems · Theorem · general topology

Filter.prod_iInf_left

∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_5} [Nonempty ι] {f : ι → Filter α} {g : Filter β},
  (⨅ i, f i) ×ˢ g = ⨅ i, f i ×ˢ g
Defined in
Mathlib.Order.Filter.Prod
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nonempty
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Around this declaration

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

Filter.prod_atTop_atTop_eq · cited by 20Filter.prod_atTop_atTop_eqFilter · cited by 8121FilterSProd.sprod · cited by 1750SProd.sprodiInf · cited by 1690iInfFilter.comap · cited by 546Filter.comapFilter.comap_iInf · cited by 23Filter.comap_iInfiInf_inf · cited by 3iInf_infFilter.prod_iInf_leftCITED BYCITES

Cites6

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Cited by1

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