Theorems · Theorem · general topology
Filter.le_iff_forall_inf_principal_compl
∀ {α : Type u_1} {f g : Filter α}, f ≤ g ↔ ∀ V ∈ g, f ⊓ Filter.principal Vᶜ = ⊥- Defined in
- Mathlib.Order.Filter.Bases.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, 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
- Bot.botstatement · cited by 4,720
- Compl.complstatement · cited by 2,925
- Filter.principalstatement · cited by 740
- Filter.mem_iff_inf_principal_complproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.