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.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Apply SNo_minus_SNo with
x13.
The subproof is completed by applying H13.
Apply idl_negcycle_7 with
x0,
x1,
x2,
x3,
x4,
x5,
x6,
minus_SNo x7,
minus_SNo x8,
minus_SNo x9,
minus_SNo x10,
minus_SNo x11,
minus_SNo x12,
minus_SNo x13 leaving 22 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.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
The subproof is completed by applying L22.
The subproof is completed by applying L23.
The subproof is completed by applying L24.
The subproof is completed by applying L25.
The subproof is completed by applying L26.
The subproof is completed by applying L27.
The subproof is completed by applying L28.
Apply minus_SNo_Le_swap with
x7,
x0,
x1 leaving 4 subgoals.
The subproof is completed by applying H7.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H15.
Apply minus_SNo_Le_swap with
x8,
x1,
x2 leaving 4 subgoals.
The subproof is completed by applying H8.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H16.
Apply minus_SNo_Le_swap with
x9,
x2,
x3 leaving 4 subgoals.
The subproof is completed by applying H9.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H17.
Apply minus_SNo_Le_swap with
x10,
x3,
x4 leaving 4 subgoals.
The subproof is completed by applying H10.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H18.
Apply minus_SNo_Le_swap with
x11,
x4,
x5 leaving 4 subgoals.
The subproof is completed by applying H11.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H19.
Apply minus_SNo_Le_swap with
x12,
x5,
x6 leaving 4 subgoals.
The subproof is completed by applying H12.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
The subproof is completed by applying H20.
Apply minus_SNo_Le_swap with
x13,
x6,
x0 leaving 4 subgoals.
The subproof is completed by applying H13.
The subproof is completed by applying H6.
The subproof is completed by applying H0.
The subproof is completed by applying H21.