Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply add_CSNo_0L with
x1,
λ x3 x4 . x3 = x2 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply add_CSNo_0L with
x2,
λ x3 x4 . add_CSNo 0 x1 = x3 leaving 2 subgoals.
The subproof is completed by applying H2.
Apply add_CSNo_minus_CSNo_linv with
x0,
λ x3 x4 . add_CSNo x3 x1 = add_CSNo x3 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_4dacc39fbff2a1eb7f64c88eae888b40bdb7083a731b4cd05ad435e42f13fcba with
minus_CSNo x0,
x0,
x1,
λ x3 x4 . x3 = add_CSNo (add_CSNo (minus_CSNo x0) x0) x2 leaving 4 subgoals.
Apply CSNo_minus_CSNo with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply H3 with
λ x3 x4 . add_CSNo (minus_CSNo x0) x4 = add_CSNo (add_CSNo (minus_CSNo x0) x0) x2.
Apply unknownprop_4dacc39fbff2a1eb7f64c88eae888b40bdb7083a731b4cd05ad435e42f13fcba with
minus_CSNo x0,
x0,
x2 leaving 3 subgoals.
Apply CSNo_minus_CSNo with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying H0.
The subproof is completed by applying H2.