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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: ordinal x0.
Assume H1: ordinal x1.
Assume H2: (λ x2 . SetAdjoin x2 (Sing 1)) x0 = (λ x2 . SetAdjoin x2 (Sing 1)) x1.
Apply set_ext with x0, x1 leaving 2 subgoals.
Apply tagged_eqE_Subq with x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply tagged_eqE_Subq with x1, x0 leaving 2 subgoals.
The subproof is completed by applying H1.
Let x2 of type ιιο be given.
The subproof is completed by applying H2 with λ x3 x4 . x2 x4 x3.