Mathlib Map

Theorems · Theorem · general topology

Monotone.isCoboundedUnder_le_of_isCobounded

∀ {R : Type u_5} {S : Type u_6} {F : Filter R} [inst : LinearOrder R] [inst_1 : LinearOrder S] {f : R → S},
  Monotone f →
    ∀ [F.NeBot], Filter.IsCobounded (fun x1 x2 => x1 ≤ x2) F → Filter.IsCoboundedUnder (fun x1 x2 => x1 ≤ x2) F f
Defined in
Mathlib.Order.Filter.IsBounded
Cited by
0 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderLinearOrderFilter.NeBot
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Around this declaration

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LinearOrder · cited by 8572LinearOrderFilter · cited by 8121FilterMonotone · cited by 1397MonotoneFilter.NeBot · cited by 853Filter.NeBotFilter.Frequently · cited by 414Filter.FrequentlyFilter.IsCoboundedUnder · cited by 102Filter.IsCoboundedUnderFilter.IsCobounded · cited by 42Filter.IsCoboundedFilter.IsCobounded.frequently_ge · cited by 3IsCobounded.frequently_geFilter.IsCobounded.of_frequently_ge · cited by 3IsCobounded.of_frequently…Monotone.frequently_ge_map_of_frequently_ge · cited by 2Monotone.frequently_ge_ma…Monotone.isCoboundedUnder_le_…CITED BYCITES

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