Theorems · Theorem · general topology
Filter.tendsto_iff_ptendsto_univ
∀ {α : Type u} {β : Type v} (l₁ : Filter α) (l₂ : Filter β) (f : α → β),
Filter.Tendsto f l₁ l₂ ↔ Filter.PTendsto (PFun.res f Set.univ) l₁ l₂- Defined in
- Mathlib.Order.Filter.Partial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Set.univstatement and proof · cited by 3,945
- Filter.Tendstostatement and proof · cited by 3,814
- inf_of_le_leftproof · cited by 186
- Filter.principal_univproof · cited by 46
- Filter.PTendstostatement · cited by 8
- PFun.resstatement · cited by 8
- Filter.tendsto_iff_ptendstoproof · cited by 2
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