Theorems · Theorem · number theory

threeGPFree_image

∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoid α] [inst_1 : CommMonoid β] {s A : Set α} {t : Set β} {f : α → β},
  IsMulFreimanIso 2 s t f → A ⊆ s → (ThreeGPFree (f '' A) ↔ ThreeGPFree A)

Geometric progressions of length three are unchanged under 2-Freiman isomorphisms.

Defined in

Mathlib.Combinatorics.Additive.AP.Three.Defs

Cited by

2 results in Mathlib

Foundations

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

Assumes

CommMonoidCommMonoid