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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0u6.
Let x1 of type ι be given.
Assume H1: x1u6.
Assume H2: nth_6_tuple x0 = nth_6_tuple x1.
Apply unknownprop_72649fc0d609625e17ac53e25cd57a51abe86f395cd11e949eac34127a9e2ea9 with x0, λ x2 x3 . x2 = x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply H2 with λ x2 x3 : ι → ι → ι → ι → ι → ι → ι . Church6_to_u6 x3 = x1.
Apply unknownprop_72649fc0d609625e17ac53e25cd57a51abe86f395cd11e949eac34127a9e2ea9 with x1.
The subproof is completed by applying H1.