Let x0 of type ο be given.
Let x1 of type ο be given.
Assume H0:
not (x0 = x1).
Apply notE with
x0 = x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_b721f4f18dab854a9c2f0364e7fd5ead1b477fed2e73a22ec4a16267b9cc37cb with
x0,
x1.
Apply unknownprop_b777a79c17f16cd28153af063df26a4626b11c1f1d4394d7f537c11837ab0962 with
iff x0 x1.
Apply unknownprop_e275a80e707f96c39309698063a3c159629a6793308c3fc6fbec19e1709fd258 with
x0,
x1 leaving 3 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H1.
The subproof is completed by applying H2.