Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Apply setminusE with
u12,
u6,
x0,
x1 x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_a36df829fd5ae696643b1cd180c001e7c72018b0aade2c8b02a3beb191bf4447 with
x0,
λ x2 . nIn x2 u6 ⟶ x1 x2 leaving 13 subgoals.
The subproof is completed by applying H7.
Apply FalseE with
x1 0.
Apply H8.
The subproof is completed by applying In_0_6.
Apply FalseE with
x1 u1.
Apply H8.
The subproof is completed by applying In_1_6.
Apply FalseE with
x1 u2.
Apply H8.
The subproof is completed by applying In_2_6.
Apply FalseE with
x1 u3.
Apply H8.
The subproof is completed by applying In_3_6.
Apply FalseE with
x1 u4.
Apply H8.
The subproof is completed by applying In_4_6.
Apply FalseE with
x1 u5.
Apply H8.
The subproof is completed by applying In_5_6.
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.