Theorems · Theorem · general topology
Filter.lift_mono
∀ {α : Type u_1} {β : Type u_2} {f₁ f₂ : Filter α} {g₁ g₂ : Set α → Filter β},
f₁ ≤ f₂ → g₁ ≤ g₂ → f₁.lift g₁ ≤ f₂.lift g₂- Defined in
- Mathlib.Order.Filter.Lift
- Cited by
- 5 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.
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
- Filter.liftstatement · cited by 45
- iInf_monoproof · cited by 29
- iInf_mono'proof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- Filter.lift'_monoproof · cited by 3
- Filter.lift_iInf_leproof · cited by 2
- uniformity_lift_le_swapproof · cited by 0
- uniformity_lift_le_compproof · cited by 0
- Filter.monotone_liftproof · cited by 0