Theorems · Definition · general topology

Filter.TendstoCofinite.mapDomain

{α : Type u_1} →
  {β : Type u_2} → {M : Type u_5} → (f : α → β) → [AddCommMonoid M] → [Filter.TendstoCofinite f] → (α → M) → β → M

Given f : α → β with Filter.TendstoCofinite f and v : α → M, Filter.TendstoCofinite.mapDomain f v : β → M is the function whose value at b : β is the sum of v x over all x such that f x = b.

Defined in

Mathlib.Order.Filter.TendstoCofinite

Cited by

4 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidFilter.TendstoCofinite