Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply unknownprop_f134758f39278620c60cfac6676dbfce170f8cc0cce849e07ba3004e259a9bbb with
x0,
x1,
x2,
λ x3 x4 . x4 = mul_CSNo x1 (mul_CSNo x0 x2) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Apply unknownprop_f134758f39278620c60cfac6676dbfce170f8cc0cce849e07ba3004e259a9bbb with
x1,
x0,
x2,
λ x3 x4 . mul_CSNo (mul_CSNo x0 x1) x2 = x4 leaving 4 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Let x4 of type ι → ο be given.
Apply unknownprop_4be0565ac5b41f138f7a30d0a9f34a5d126bb341d2eeaa545aa7f0c1552b9722 with
x1,
x2,
λ x5 x6 . (λ x7 . x4) (mul_CSNo x5 y3) (mul_CSNo x6 y3) leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Let x4 of type ι → ι → ο be given.
Apply L3 with
λ x5 . x4 x5 y3 ⟶ x4 y3 x5.
Assume H4: x4 y3 y3.
The subproof is completed by applying H4.