Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Let x2 of type ι be given.
Apply set_ext with
f482f.. (0fc90.. x0 (λ x3 . x1 x3)) x2,
x1 x2 leaving 2 subgoals.
Let x3 of type ι be given.
Apply unknownprop_94a9448d53fe41e2f423017518d13b5ed4aaa7ee3f113a3a8a767ea0e11959dd with
0fc90.. x0 (λ x4 . x1 x4),
x2,
x3.
The subproof is completed by applying H1.
Apply unknownprop_71513a20f1177ff70329cea2acacdc027438e2c1b21157d461d18b1d34278a09 with
x0,
x1,
x2,
x3.
The subproof is completed by applying L2.
Let x3 of type ι be given.
Assume H1:
prim1 x3 (x1 x2).
Apply unknownprop_5843a53f522dbf92d80ac36289685067f008fd2f46b9067d54fc3bf68053a1a3 with
0fc90.. x0 (λ x4 . x1 x4),
x2,
x3.
Apply unknownprop_1f27075d0cd8d16888a609d68ca6246fb2307839dccadd646f85ab18bdcaae8e with
x0,
λ x4 . x1 x4,
x2,
x3 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.