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
7,
binunion (binunion (f4b0e.. x0 x1 x2 x3) {(λ x17 . SetAdjoin x17 (Sing 5)) x16|x16 ∈ x4}) {(λ x17 . SetAdjoin x17 (Sing 6)) x16|x16 ∈ x5},
binunion (binunion (f4b0e.. x8 x9 x10 x11) {(λ x17 . SetAdjoin x17 (Sing 5)) x16|x16 ∈ x12}) {(λ x17 . SetAdjoin x17 (Sing 6)) x16|x16 ∈ x13},
x6,
x14 leaving 5 subgoals.
The subproof is completed by applying nat_7.
The subproof is completed by applying In_1_7.
The subproof is completed by applying L19.
The subproof is completed by applying L23.
The subproof is completed by applying L25.
Apply unknownprop_2813bbc264ba76c59b7f17aa546b4f6f8aeefd89625c13ba0e93156d0c5da027 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 7 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 H5.
The subproof is completed by applying H13.
The subproof is completed by applying L26.