Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_85336ee07ace71a942dc508d3b8c851d9d6bb88511443b7dafbf11b71c263f4d with
λ x2 . 14149.. (14149.. x0 x1) x2 = 14149.. x0 (14149.. x1 x2) leaving 2 subgoals.
Apply unknownprop_63d5ed0b5d3b2a9a063f903e166c6263ce12fd6bf7f7fd37a0e3fe7d20466f91 with
x1,
λ x2 x3 . 14149.. (14149.. x0 x1) 4a7ef.. = 14149.. x0 x3.
Apply unknownprop_63d5ed0b5d3b2a9a063f903e166c6263ce12fd6bf7f7fd37a0e3fe7d20466f91 with
x0,
λ x2 x3 . 14149.. (14149.. x0 x1) 4a7ef.. = x3.
The subproof is completed by applying unknownprop_63d5ed0b5d3b2a9a063f903e166c6263ce12fd6bf7f7fd37a0e3fe7d20466f91 with
14149.. x0 x1.
Let x2 of type ι be given.
Apply unknownprop_df1b2baf102ee12829b37c01f19bfac87840dc98b8bed43c98e8486d3941b705 with
14149.. x0 x1,
x2,
λ x3 x4 . x4 = 14149.. x0 (14149.. x1 (4ae4a.. x2)) leaving 2 subgoals.
The subproof is completed by applying H2.
Apply unknownprop_df1b2baf102ee12829b37c01f19bfac87840dc98b8bed43c98e8486d3941b705 with
x1,
x2,
λ x3 x4 . 616bf.. (14149.. x0 x1) (14149.. (14149.. x0 x1) x2) = 14149.. x0 x4 leaving 2 subgoals.
The subproof is completed by applying H2.
Apply unknownprop_f3c9cd006b0ca49dbaea87eee344eae5f575e10742b8882573411ba536c6d868 with
x0,
x1,
14149.. x1 x2,
λ x3 x4 . 616bf.. (14149.. x0 x1) (14149.. (14149.. x0 x1) x2) = x4 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_a6b90744dda0953f61ea6db040f1ab51cb32b8fa53742e60c6b6833df8b67618 with
x1,
x2 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.