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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0 ∈ u17.
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.
Assume H16: x1 u15.
Assume H17: x1 u16.
Apply ordsuccE with u16, x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H18: x0 ∈ u16.
Apply unknownprop_485b5a544f4a752392d62c01e55a5e36a8748d64fd7af6f27349bd2453284446 with x0, x1 leaving 17 subgoals.
The subproof is completed by applying H18.
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.
The subproof is completed by applying H15.
The subproof is completed by applying H16.
Assume H18: x0 = u16.
Apply H18 with λ x2 x3 . x1 x3.
The subproof is completed by applying H17.
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