| ∀ 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 x3 : ι → ι → ι . (∀ x4 . x4 ∈ SNoS_ (SNoLev x1) ⟶ x2 x4 = x3 x4) ⟶ ∀ x4 . SNo x4 ⟶ ∀ x5 x6 : ι → ι . (∀ x7 . x7 ∈ SNoS_ (SNoLev x4) ⟶ x5 x7 = x6 x7) ⟶ x0 x1 x4 (λ x8 x9 . If_i (x8 = x1) (x5 x9) (x2 x8 x9)) = x0 x1 x4 (λ x8 x9 . If_i (x8 = x1) (x6 x9) (x3 x8 x9)) |
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