| ∀ x0 : ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → (ι → ι) → ι → ι . ∀ x1 : ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → ((ι → ι) → ι → ι) → (ι → ι) → ι → ι . ChurchNum_3ary_proj_p x0 ⟶ ChurchNum_8ary_proj_p x1 ⟶ (TwoRamseyGraph_4_5_24_ChurchNums_3x8 (λ x3 x4 x5 : (ι → ι) → ι → ι . x3) (λ x3 x4 x5 x6 x7 x8 x9 x10 : (ι → ι) → ι → ι . x3) x0 x1 = λ x3 x4 . x4) ⟶ ∀ x2 : ο . ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x4) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x7) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x4) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x9) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x4) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x10) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x4) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x11) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x5) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x6) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x5) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x7) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x5) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x8) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x5) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x9) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x5) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x10) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x6) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x5) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x6) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x6) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x6) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x7) ⟶ x2) ⟶ ((x0 = λ x4 x5 x6 : (ι → ι) → ι → ι . x6) ⟶ (x1 = λ x4 x5 x6 x7 x8 x9 x10 x11 : (ι → ι) → ι → ι . x9) ⟶ x2) ⟶ x2 |
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