Search for blocks/addresses/...

Proofgold Proof

pf
Claim L0: ...
...
Claim L1: ...
...
Claim L2: ...
...
Let x0 of type ι be given.
Assume H3: x0 ∈ int.
Let x1 of type ι be given.
Assume H4: x1 ∈ int.
Let x2 of type ι be given.
Assume H5: x2 ∈ int.
Let x3 of type ι be given.
Assume H6: x3 ∈ int.
Let x4 of type ι be given.
Assume H7: x4 ∈ int.
Let x5 of type ι be given.
Assume H8: x5 ∈ int.
Assume H9: x0 = add_SNo ((λ x6 . mul_SNo x6 x6) x2) (add_SNo ((λ x6 . mul_SNo x6 x6) x3) (add_SNo ((λ x6 . mul_SNo x6 x6) x4) ((λ x6 . mul_SNo x6 x6) x5))).
Let x6 of type ι be given.
Assume H10: x6 ∈ int.
Let x7 of type ι be given.
Assume H11: x7 ∈ int.
Let x8 of type ι be given.
Assume H12: x8 ∈ int.
Let x9 of type ι be given.
Assume H13: x9 ∈ int.
Assume H14: x1 = add_SNo ((λ x10 . mul_SNo x10 x10) x6) (add_SNo ((λ x10 . mul_SNo x10 x10) x7) (add_SNo ((λ x10 . mul_SNo x10 x10) x8) ((λ x10 . mul_SNo x10 x10) x9))).
Apply H9 with λ x10 x11 . mul_SNo x11 x1 = add_SNo ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo x2 x7) (add_SNo (mul_SNo x3 x6) (add_SNo (mul_SNo x4 x9) (minus_SNo (mul_SNo x5 x8)))))) (add_SNo ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo x2 x8) (add_SNo (minus_SNo (mul_SNo x3 x9)) (add_SNo (mul_SNo x4 x6) (mul_SNo x5 x7))))) (add_SNo ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo x2 x9) (add_SNo (mul_SNo x3 x8) (add_SNo (minus_SNo (mul_SNo x4 x7)) (mul_SNo x5 x6))))) ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo x2 x6) (add_SNo (minus_SNo (mul_SNo x3 x7)) (add_SNo (minus_SNo (mul_SNo x4 x8)) (minus_SNo (mul_SNo x5 x9)))))))).
Apply H14 with λ x10 x11 . mul_SNo (add_SNo ((λ x12 . mul_SNo x12 x12) x2) (add_SNo ((λ x12 . mul_SNo x12 x12) x3) (add_SNo ((λ x12 . mul_SNo x12 x12) x4) ((λ x12 . mul_SNo x12 x12) x5)))) x11 = add_SNo ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo x2 x7) (add_SNo (mul_SNo x3 x6) (add_SNo (mul_SNo x4 x9) (minus_SNo (mul_SNo x5 x8)))))) (add_SNo ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo x2 x8) (add_SNo (minus_SNo (mul_SNo x3 x9)) (add_SNo (mul_SNo x4 x6) (mul_SNo x5 x7))))) (add_SNo ((λ x12 . mul_SNo x12 x12) (add_SNo (mul_SNo ... ...) ...)) ...)).
...
■