Theorems · Theorem · general topology
Filter.le_div_iff
∀ {α : Type u_2} [inst : Div α] {f g h : Filter α}, h ≤ f / g ↔ ∀ ⦃s : Set α⦄, s ∈ f → ∀ ⦃t : Set α⦄, t ∈ g → s / t ∈ h- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Div
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.divstatement · cited by 112
- Filter.le_map₂_iffproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Filter.NeBot.div_zero_nonnegproof · cited by 0
- Filter.NeBot.zero_div_nonnegproof · cited by 0