Theorems · Theorem · combinatorics

IsAddFreimanHom.to_isAddFreimanIso

∀ {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.InvOn g f A B → IsAddFreimanHom n A B f → IsAddFreimanHom n B A g → IsAddFreimanIso n A B f

If the inverse of a Freiman homomorphism is itself a Freiman homomorphism, then it is a Freiman isomorphism.

Defined in

Mathlib.Combinatorics.Additive.FreimanHom

Cited by

2 results in Mathlib

Foundations

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

Assumes

AddCommMonoidAddCommMonoid