Let x0 of type ι be given.
Let x1 of type ι be given.
Apply minus_SNoCut_eq_lem with
SNoCut x0 x1,
x0,
x1 leaving 3 subgoals.
Apply SNoCutP_SNo_SNoCut with
x0,
x1.
The subproof is completed by applying H0.
The subproof is completed by applying H0.
Let x2 of type ι → ι → ο be given.
The subproof is completed by applying H1.