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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0 ∈ u11.
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.
Apply ordsuccE with u10, x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H12: x0 ∈ u10.
Apply unknownprop_74ee37d72a6213f9e490059da26888feba068255f704fd7ddf59dcd556b0b662 with x0, x1 leaving 11 subgoals.
The subproof is completed by applying H12.
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.
Assume H12: x0 = u10.
Apply H12 with λ x2 x3 . x1 x3.
The subproof is completed by applying H11.
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