Let x0 of type ι be given.
Apply unknownprop_85336ee07ace71a942dc508d3b8c851d9d6bb88511443b7dafbf11b71c263f4d with
λ x1 . 14149.. x0 x1 = 14149.. x1 x0 leaving 2 subgoals.
Apply unknownprop_82fcf00d8928ca7d495dc5529369dd96de0531c0724053fc659790345c80294d with
x0,
λ x1 x2 . 14149.. x0 4a7ef.. = x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying unknownprop_63d5ed0b5d3b2a9a063f903e166c6263ce12fd6bf7f7fd37a0e3fe7d20466f91 with x0.
Let x1 of type ι be given.
Apply unknownprop_df1b2baf102ee12829b37c01f19bfac87840dc98b8bed43c98e8486d3941b705 with
x0,
x1,
λ x2 x3 . x3 = 14149.. (4ae4a.. x1) x0 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_a1f7886e3c8b644b68fabe16524672232143b83d29038af70d81d644494f557a with
x1,
x0,
λ x2 x3 . 616bf.. x0 (14149.. x0 x1) = x3 leaving 3 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
Apply H2 with
λ x2 x3 . 616bf.. x0 x3 = 616bf.. (14149.. x1 x0) x0.
Apply unknownprop_aa168b4c293425c2abd45282f70c213c6b1470480d07539c9debf1ff08466a37 with
x0,
14149.. x1 x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_a6b90744dda0953f61ea6db040f1ab51cb32b8fa53742e60c6b6833df8b67618 with
x1,
x0 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.