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.
Let x14 of type ι be given.
Let x15 of type ι be given.
Assume H16:
bbc71.. x0 x1 x2 x3 x4 x5 x6 x7 = bbc71.. x8 x9 x10 x11 x12 x13 x14 x15.
Apply unknownprop_51bcfb81b3dbbea1e1fae277f714ba4cf628952e82df65fecaaeb1c81602a38b with
6,
binunion (f4b0e.. x0 x1 x2 x3) {(λ x17 . SetAdjoin x17 (Sing 5)) x16|x16 ∈ x4},
binunion (f4b0e.. x8 x9 x10 x11) {(λ x17 . SetAdjoin x17 (Sing 5)) x16|x16 ∈ x12},
x5,
x13 leaving 5 subgoals.
The subproof is completed by applying nat_6.
The subproof is completed by applying In_1_6.
The subproof is completed by applying L18.
The subproof is completed by applying L22.
The subproof is completed by applying L26.
Apply unknownprop_51bcfb81b3dbbea1e1fae277f714ba4cf628952e82df65fecaaeb1c81602a38b with
5,
f4b0e.. x0 x1 x2 x3,
f4b0e.. x8 x9 x10 x11,
x4,
x12 leaving 5 subgoals.
The subproof is completed by applying nat_5.
The subproof is completed by applying In_1_5.
The subproof is completed by applying L17.
The subproof is completed by applying L21.
The subproof is completed by applying L27.
Apply unknownprop_103a081e403793937d3065fae3fde1756efbefb7dcc44a50b4b18345b916d030 with
x0,
x1,
x2,
x3,
x8,
x9,
x10,
x11 leaving 9 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 H8.
The subproof is completed by applying H9.
The subproof is completed by applying H10.
The subproof is completed by applying H11.
The subproof is completed by applying L28.