Theorems · Theorem · combinatorics

IsAddFreimanHom.add_eq_add

∀ {α : Type u_2} {β : Type u_3} [inst : AddCommMonoid α] [inst_1 : AddCommMonoid β] {A : Set α} {B : Set β} {f : α → β},
  IsAddFreimanHom 2 A B f → ∀ {a b c d : α}, a ∈ A → b ∈ A → c ∈ A → d ∈ A → a + b = c + d → f a + f b = f c + f d

Defined in

Mathlib.Combinatorics.Additive.FreimanHom

Cited by

3 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidAddCommMonoid