Theorems · Theorem · general topology
Filter.mem_lift
∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {g : Set α → Filter β} {s : Set β} {t : Set α},
t ∈ f → s ∈ g t → s ∈ f.lift g- Defined in
- Mathlib.Order.Filter.Lift
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Filter.principalproof · cited by 740
- Filter.le_principal_iffproof · cited by 87
- iInf_le_of_leproof · cited by 62
- Filter.liftstatement and proof · cited by 45
Cited by3
Results whose statement or proof uses this declaration.
- Filter.lift_principal2proof · cited by 1
- Filter.lift_iInf_of_directedproof · cited by 0
- completeSpace_extensionproof · cited by 0