Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with
4ae4a.. (4ae4a.. 4a7ef..),
λ x2 . If_i (x2 = 4a7ef..) x0 x1,
4ae4a.. 4a7ef..,
λ x2 x3 . x3 = x1 leaving 2 subgoals.
The subproof is completed by applying unknownprop_e256c3837ff221325e66d4c83283618d462d76cb96bca463e1abd4876bf63511.
Apply If_i_0 with
4ae4a.. 4a7ef.. = 4a7ef..,
x0,
x1.
The subproof is completed by applying unknownprop_24ff2ea632296eb0012bd83ffdc0e75761169422164b438efe0673b96d912be0.