Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Apply unknownprop_4dacc39fbff2a1eb7f64c88eae888b40bdb7083a731b4cd05ad435e42f13fcba with
add_CSNo x0 x1,
x2,
x3,
λ x4 x5 . x5 = add_CSNo (add_CSNo x0 x2) (add_CSNo x1 x3) leaving 4 subgoals.
Apply CSNo_add_CSNo with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Apply unknownprop_77dcef66813586d50120c5a96b0e64deb3bb2f24f033e706f9707610229e2634 with
x0,
x1,
x2,
λ x4 x5 . add_CSNo x5 x3 = add_CSNo (add_CSNo x0 x2) (add_CSNo x1 x3) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Let x4 of type ι → ι → ο be given.
Apply unknownprop_4dacc39fbff2a1eb7f64c88eae888b40bdb7083a731b4cd05ad435e42f13fcba with
add_CSNo x0 x2,
x1,
x3,
λ x5 x6 . x4 x6 x5 leaving 3 subgoals.
Apply CSNo_add_CSNo with
x0,
x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
The subproof is completed by applying H3.