Theorems · Theorem · combinatorics

IsAddFreimanIso.symm

∀ {α : Type u_2} {β : Type u_3} [inst : AddCommMonoid α] [inst_1 : AddCommMonoid β] {A : Set α} {B : Set β} {f : α → β}
  {n : ℕ} {g : β → α}, Set.MapsTo g B A → Set.RightInvOn g f B → IsAddFreimanIso n A B f → IsAddFreimanIso n B A g

Given an additive Freiman isomorphism f from A to B, if g maps B into A, and is a right inverse to f on B, then g is an additive Freiman isomorphism from B to A.

Defined in

Mathlib.Combinatorics.Additive.FreimanHom

Cited by

1 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidAddCommMonoid