| ∀ x0 : ι → ι → (ι → ι → ι) → ι . (∀ x1 . SNo x1 ⟶ ∀ x2 . SNo x2 ⟶ ∀ x3 x4 : ι → ι → ι . (∀ x5 . x5 ∈ SNoS_ (SNoLev x1) ⟶ ∀ x6 . SNo x6 ⟶ x3 x5 x6 = x4 x5 x6) ⟶ (∀ x5 . x5 ∈ SNoS_ (SNoLev x2) ⟶ x3 x1 x5 = x4 x1 x5) ⟶ x0 x1 x2 x3 = x0 x1 x2 x4) ⟶ ∀ x1 . SNo x1 ⟶ ∀ x2 . SNo x2 ⟶ SNo_rec2 x0 x1 x2 = x0 x1 x2 (SNo_rec2 x0) |
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