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Theorems · Theorem · general topology

Filter.mem_pmap

∀ {α : Type u} {β : Type v} (f : α →. β) (l : Filter α) (s : Set β), s ∈ Filter.pmap f l ↔ f.core s ∈ l
Defined in
Mathlib.Order.Filter.Partial
Cited by
0 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • Filterstatement and proof · cited by 8,121
  • PFunstatement and proof · cited by 207
  • PFun.corestatement · cited by 16
  • Filter.pmapstatement · cited by 2

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