Theorems · Theorem · general algebraic systems

Finsupp.mem_range_mapDomain_iff

∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddCommMonoid M] (f : α → β),
  Function.Injective f → ∀ (x : β →₀ M), x ∈ Set.range (Finsupp.mapDomain f) ↔ ∀ b ∉ Set.range f, x b = 0

Defined in

Mathlib.Data.Finsupp.Basic

Cited by

1 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoid