Theorems · Theorem · number theory

IsAddFreimanHom.threeAPFree

∀ {α : Type u_2} {β : Type u_3} [inst : AddCommMonoid α] [inst_1 : AddCommMonoid β] {s : Set α} {t : Set β} {f : α → β},
  IsAddFreimanHom 2 s t f → Set.InjOn f s → ThreeAPFree t → ThreeAPFree s

Arithmetic progressions of length three are reflected under 2-Freiman homomorphisms.

Defined in

Mathlib.Combinatorics.Additive.AP.Three.Defs

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidAddCommMonoid