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Theorems · Theorem · general topology

Filter.HasAntitoneBasis.comp_strictMono

∀ {α : Type u_3} {l : Filter α} {s : ℕ → Set α},
  l.HasAntitoneBasis s → ∀ {φ : ℕ → ℕ}, StrictMono φ → l.HasAntitoneBasis (s ∘ φ)
Defined in
Mathlib.Order.Filter.AtTopBot.Basic
Cited by
1 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Filter.HasAntitoneBasis.subbasis_with_rel · cited by 4HasAntitoneBasis.subbasis…Set · cited by 53352SetFilter · cited by 8121FilterStrictMono · cited by 706StrictMonoStrictMono.monotone · cited by 118StrictMono.monotoneFilter.HasAntitoneBasis · cited by 43Filter.HasAntitoneBasisStrictMono.tendsto_atTop · cited by 20StrictMono.tendsto_atTopFilter.HasAntitoneBasis.comp_mono · cited by 2HasAntitoneBasis.comp_monoHasAntitoneBasis.comp_strictM…CITED BYCITES

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