∀ {α : Type u_1} [inst : CompleteLattice α] {ι₁ : Sort u_8} {ι₂ : Sort u_9} {κ₁ : ι₁ → Sort u_10} {κ₂ : ι₂ → Sort u_11}
  (f : (i₁ : ι₁) → κ₁ i₁ → (i₂ : ι₂) → κ₂ i₂ → α),
  ⨅ i₁, ⨅ j₁, ⨅ i₂, ⨅ j₂, f i₁ j₁ i₂ j₂ = ⨅ i₂, ⨅ j₂, ⨅ i₁, ⨅ j₁, f i₁ j₁ i₂ j₂