Theorems · Theorem · Lie groups

eventuallyEq_prod

∀ {ι : Type u_1} {X : Type u_6} {M : Type u_7} [inst : CommMonoid M] {s : Finset ι} {l : Filter X} {f g : ι → X → M},
  (∀ i ∈ s, f i =ᶠ[l] g i) → ∏ i ∈ s, f i =ᶠ[l] ∏ i ∈ s, g i

Defined in

Mathlib.Topology.Algebra.Monoid

Cited by

0 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoid