import Mathlib

/- Original: Q = L ⋉ U , where L = LI = Q ∩ Θ(Q) -/
theorem eq_772db3539479dd4b (L : ℕ) (LI : ℕ) (Q : ℕ) (U : ℕ) (where : ℕ) (Θ : ℕ) : Q = L ⋉ U ∧ where L = LI = Q ∩ Θ(Q) := by
  omega