import Mathlib

/- Original: t ≥ 0 into X tn X X tn X etΓ β(x) = [Γn β](x) β(y) γ (n) (y, x) =: β(y)γt (y, x) -/
theorem eq_069f772cfae3e2f6 (X : ℕ) (etΓ : ℕ) (into : ℕ) (n : ℕ) (t : ℕ) (tn : ℕ) (x : ℕ) (y : ℕ) (Γn : ℕ) (β : ℕ) (γ : ℕ) (γt : ℕ) : t ≥ 0 into X tn X X tn X etΓ β(x) = [Γn β](x) β(y) γ (n) (y ∧ x) =: β(y)γt (y ∧ x) := by
  omega