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Theorems · Theorem · general topology

Filter.monotone_mem

∀ {α : Type u} {f : Filter α}, Monotone fun s => s ∈ f
Defined in
Mathlib.Order.Filter.Basic
Cited by
1 results in Mathlib
Foundations
Depth 60 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.

CauchyFilter.monotone_gen · cited by 3CauchyFilter.monotone_genSet · cited by 53352SetFilter · cited by 8121FilterMonotone · cited by 1397MonotoneFilter.mem_of_superset · cited by 308Filter.mem_of_supersetFilter.monotone_memCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.