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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0u24.
Let x1 of type ιο 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.
Assume H18: x1 u17.
Assume H19: x1 u18.
Assume H20: x1 u19.
Assume H21: x1 u20.
Assume H22: x1 u21.
Assume H23: x1 u22.
Assume H24: x1 u23.
Apply ordsuccE with u23, x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H25: x0u23.
Apply unknownprop_ff480b1e771700f7c583956150bf39dd54b3c79027a5f7e67ad43c2cfd56889e with x0, x1 leaving 24 subgoals.
The subproof is completed by applying H25.
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.
The subproof is completed by applying H17.
The subproof is completed by applying H18.
The subproof is completed by applying H19.
The subproof is completed by applying H20.
The subproof is completed by applying H21.
The subproof is completed by applying H22.
The subproof is completed by applying H23.
Assume H25: x0 = u23.
Apply H25 with λ x2 x3 . x1 x3.
The subproof is completed by applying H24.