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Proofgold Proof

pf
Apply functional extensionality with 55574.. 0, λ x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 . x0.
Let x0 of type ι be given.
Apply functional extensionality with 55574.. 0 x0, (λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 . x1) x0.
Let x1 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1, (λ x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 . x2) x0 x1.
Let x2 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2, (λ x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 . x3) x0 x1 x2.
Let x3 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3, (λ x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 . x4) x0 x1 x2 x3.
Let x4 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4, (λ x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 . x5) x0 x1 x2 x3 x4.
Let x5 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5, (λ x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 . x6) x0 x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6, (λ x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 . x7) x0 x1 x2 x3 x4 x5 x6.
Let x7 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7, (λ x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 . x8) x0 x1 x2 x3 x4 x5 x6 x7.
Let x8 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7 x8, (λ x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 x30 . x9) x0 x1 x2 x3 x4 x5 x6 x7 x8.
Let x9 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9, (λ x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 x30 x31 . x10) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9.
Let x10 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10, (λ x11 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 x30 x31 x32 . x11) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10.
Let x11 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11, (λ x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 x30 x31 x32 x33 . x12) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11.
Let x12 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12, (λ x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 x27 x28 x29 x30 x31 x32 x33 x34 . x13) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12.
Let x13 of type ι be given.
Apply functional extensionality with 55574.. 0 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 ... ... ... ..., ....
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