∀ {α : Sort u_1} {β : Sort u_2} {s₁ : Setoid α} {s₂ : Setoid β} {φ : Quotient s₁ → Quotient s₂ → Sort u_5}
  (f : (a : α) → (b : β) → φ (Quotient.mk'' a) (Quotient.mk'' b))
  (c : ∀ (a₁ : α) (b₁ : β) (a₂ : α) (b₂ : β), a₁ ≈ a₂ → b₁ ≈ b₂ → f a₁ b₁ ≍ f a₂ b₂) (x : α) (qb : Quotient s₂),
  (Quotient.mk'' x).hrecOn₂' qb f c = qb.hrecOn' (f x) ⋯