Theorems · Theorem · number theory

ThreeAPFree.eq_right

∀ {α : Type u_2} [inst : AddCommMonoid α] [IsCancelAdd α] {s : Set α},
  ThreeAPFree s → ∀ ⦃a : α⦄, a ∈ s → ∀ ⦃b : α⦄, b ∈ s → ∀ ⦃c : α⦄, c ∈ s → a + c = b + b → b = c

Defined in

Mathlib.Combinatorics.Additive.AP.Three.Defs

Cited by

0 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext

Assumes

AddCommMonoidIsCancelAdd