Let x0 of type ι be given.
Let x1 of type ι be given.
Apply ordinal_In_Or_Subq with
x0,
x1,
or (Subq x0 x1) (Subq x1 x0) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply orIL with
Subq x0 x1,
Subq x1 x0.
Apply ordinal_TransSet with
x1,
x0 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Apply orIR with
Subq x0 x1,
Subq x1 x0.
The subproof is completed by applying H2.