Research proof index

Example usage of AssocFullyRightAssociate -/ theorem Assoc4 {G : Type _} [Magma G] (assoc : Equation4512 G) : ∀ x y z w : G, ((x ◇ y) ◇ z) ◇ w = x ◇ (y ◇ (z ◇ w)) := fun x y z w ↦ AssocFullyRightAssociate assoc (fun | 0 => x | 1 => y | 2 => z | 3 => w : Fin 4 → G) (((Lf 0 ⋆ Lf 1) ⋆ Lf 2) ⋆ Lf 3) inductive FreeSemigroup (α : Type _) | Singleton : α → FreeS...

https://leanprover.zulipchat.com/#narrow/channel/458659-Equational/topic/1323/near/481475622

Blueprint Lemma 13.2(v). E255 at x ↔ L_x ∘ R_x has a fixed point.

However, Equation374794 doesn't imply Equation2.

In a finite model Equation374794 implies Equation2, that the model is a subsingleton.

The module Π₀ _ : ℕ, ℤ is not a finite rank module over ℤ