Let x0 of type ι be given.
Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with
setsum (proj0 x0) (proj1 x0),
x0.
Let x1 of type ι be given.
Apply unknownprop_976b9ed71c1ec1f277c9c37a01879b51c2de3497fe82149802bec54f853970e6 with
proj0 x0,
proj1 x0,
x1,
λ x2 . In x2 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Let x2 of type ι be given.
Apply unknownprop_5992b8b7bec7fb836d55125523d586d30ffbc11c7b85cf6cd43502369de91721 with
x0,
x2.
The subproof is completed by applying H1.
Let x2 of type ι be given.
Apply unknownprop_ddee32b485fe3b18e7ed6649c430b0ba07fbbe95c6ca01a1512260320292f5d6 with
x0,
x2.
The subproof is completed by applying H1.