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Proofgold Proof

pf
Let x0 of type (ι → ι → ι → ι → ι → ι → ι → ι → ι → ι → ι) → ο be given.
Assume H0: x0 Church10_0.
Assume H1: x0 Church10_1.
Assume H2: x0 Church10_2.
Assume H3: x0 Church10_3.
Assume H4: x0 Church10_4.
Assume H5: x0 Church10_5.
Assume H6: x0 Church10_6.
Assume H7: x0 Church10_7.
Assume H8: x0 Church10_8.
Assume H9: x0 Church10_9.
Apply and7I with and (and (and (x0 Church10_0) (x0 Church10_1)) (x0 Church10_2)) (x0 Church10_3), x0 Church10_4, x0 Church10_5, x0 Church10_6, x0 Church10_7, x0 Church10_8, x0 Church10_9 leaving 7 subgoals.
Apply and4I with x0 Church10_0, x0 Church10_1, x0 Church10_2, x0 Church10_3 leaving 4 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 H7.
The subproof is completed by applying H8.
The subproof is completed by applying H9.
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