Let x0 of type ι be given.
Apply unknownprop_bfc870f6d786cc78805c5bf0f9864161d18f532f6daf7daf1d02f4a58dac06f9 with
x0,
0,
λ x1 x2 . ordsucc x0 = x2 leaving 2 subgoals.
The subproof is completed by applying unknownprop_0e150139fedb8d7a0ae85e3054b4c73c936e7acb880ce730fb00a0093c9c6c27.
Apply unknownprop_bad5adbbba30ab6e9c584ed350d824b3c3bff74e61c0a5380ac75f32855c37ee with
x0,
λ x1 x2 . ordsucc x0 = ordsucc x2.
Let x1 of type ι → ι → ο be given.
The subproof is completed by applying H0.