import Mathlib

/- Original: n≥1  γ1 ,··· ,γn ∈PL N A∩(γ1 ∪···∪γn )̸=∅  n Y  φn (γ1 , -/
theorem eq_cdd78fef1b6ac967 (A : ℕ) (N : ℕ) (PL : ℕ) (Y : ℕ) (n : ℕ) (γ1 : ℕ) (γn : ℕ) (φn : ℕ) : n≥1 γ1 ∧ *** ∧ γn ∈PL N A∩(γ1 ∪***∪γn )̸=∅ n Y φn (γ1 := by
  omega