Theorems · Theorem · combinatorics

isMulFreimanIso_two

∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoid α] [inst_1 : CommMonoid β] {A : Set α} {B : Set β} {f : α → β},
  IsMulFreimanIso 2 A B f ↔ Set.BijOn f A B ∧ ∀ a ∈ A, ∀ b ∈ A, ∀ c ∈ A, ∀ d ∈ A, f a * f b = f c * f d ↔ a * b = c * d

Characterisation of 2-Freiman homs.

Defined in

Mathlib.Combinatorics.Additive.FreimanHom

Cited by

0 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

CommMonoidCommMonoid