Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_c5e2164052a280ad5b04f622e53815f0267ee33361e4345305e43303abef2c1b with
2,
λ x2 . If_i (x2 = 0) x0 x1,
1,
λ x2 x3 . x3 = x1 leaving 2 subgoals.
The subproof is completed by applying unknownprop_85e7394990c25c8874e39b4ca1ac83bc7d22390df4a86e0ba0fa73d0ca7d5d30.
Apply unknownprop_5a150bd86f4285de5d98c60b17d4452a655b4d88de0a02247259cdad6e6d992c with
1 = 0,
x0,
x1.
The subproof is completed by applying unknownprop_698eb914d3aabc70ca0bb946b6907a27e3cce6e39040426b924e77df3507fbcf.