Theorems · Theorem · general topology

OrderIso.isBoundedUnder_ge_comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : LE α] [inst_1 : LE β] (e : α ≃o β) {l : Filter γ} {u : γ → α},
  (Filter.IsBoundedUnder (fun x1 x2 => x2 ≤ x1) l fun x => e (u x)) ↔ Filter.IsBoundedUnder (fun x1 x2 => x2 ≤ x1) l u

Defined in

Mathlib.Order.Filter.IsBounded

Cited by

2 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

LELE