Let x0 of type ι be given.
Let x1 of type ι be given.
Apply set_ext with
x0,
x1 leaving 2 subgoals.
Apply unknownprop_3e02493f7d7ca2626d2be7e61bff6e3d4afeb4effad996587801d63e14d94a21 with
x1,
x0 leaving 3 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
Apply equip_atleastp with
x0,
x1.
The subproof is completed by applying H2.
Apply unknownprop_3e02493f7d7ca2626d2be7e61bff6e3d4afeb4effad996587801d63e14d94a21 with
x0,
x1 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply equip_atleastp with
x1,
x0.
Apply equip_sym with
x0,
x1.
The subproof is completed by applying H2.