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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0 ∈ u15.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Assume H2: x1 u1.
Assume H3: x1 u2.
Assume H4: x1 u3.
Assume H5: x1 u4.
Assume H6: x1 u5.
Assume H7: x1 u6.
Assume H8: x1 u7.
Assume H9: x1 u8.
Assume H10: x1 u9.
Assume H11: x1 u10.
Assume H12: x1 u11.
Assume H13: x1 u12.
Assume H14: x1 u13.
Assume H15: x1 u14.
Apply ordsuccE with u14, x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H16: x0 ∈ u14.
Apply unknownprop_f5f38a41dc62ca37f571854f7a510ceb2fb66dd24a6e8bc2c5339fc412f0b60f with x0, x1 leaving 15 subgoals.
The subproof is completed by applying H16.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
The subproof is completed by applying H7.
The subproof is completed by applying H8.
The subproof is completed by applying H9.
The subproof is completed by applying H10.
The subproof is completed by applying H11.
The subproof is completed by applying H12.
The subproof is completed by applying H13.
The subproof is completed by applying H14.
Assume H16: x0 = u14.
Apply H16 with λ x2 x3 . x1 x3.
The subproof is completed by applying H15.
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