Theorems · Theorem · general topology

Filter.map_prod

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (m : α × β → γ) (f : Filter α) (g : Filter β),
  Filter.map m (f ×ˢ g) = (Filter.map (fun a b => m (a, b)) f).seq g

Defined in

Mathlib.Order.Filter.Prod

Cited by

2 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound