Theorems · Theorem · combinatorics

isAddFreimanHom_two

∀ {α : Type u_2} {β : Type u_3} [inst : AddCommMonoid α] [inst_1 : AddCommMonoid β] {A : Set α} {B : Set β} {f : α → β},
  IsAddFreimanHom 2 A B f ↔ Set.MapsTo f A B ∧ ∀ a ∈ A, ∀ b ∈ A, ∀ c ∈ A, ∀ d ∈ A, a + b = c + d → f a + f b = f c + f d

Characterisation of 2-Freiman homomorphisms.

Defined in

Mathlib.Combinatorics.Additive.FreimanHom

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidAddCommMonoid