Theorems · Theorem · general topology
Filter.lift_assoc
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {f : Filter α} {g : Set α → Filter β} {h : Set β → Filter γ},
Monotone g → (f.lift g).lift h = f.lift fun s => (g s).lift h- Defined in
- Mathlib.Order.Filter.Lift
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- le_antisymmproof · cited by 2,068
- Monotonestatement and proof · cited by 1,397
- iInf_leproof · cited by 104
- le_iInf₂proof · cited by 67
- iInf_le_of_leproof · cited by 62
- Filter.liftstatement and proof · cited by 45
- Filter.mem_lift_setsproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Filter.lift_lift'_assocproof · cited by 2
- Filter.lift'_lift_assocproof · cited by 1
- Filter.prod_lift_liftproof · cited by 1