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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: Sing 2 ∈ x0.
Assume H1: ordinal x1.
Assume H2: Sing 2 ∈ SetAdjoin x1 (Sing 1).
Apply binunionE with x1, Sing (Sing 1), Sing 2, False leaving 3 subgoals.
The subproof is completed by applying H2.
Assume H3: Sing 2 ∈ x1.
Apply unknownprop_7bb148020ac74fad9e588d8f6f24c2245db7c295ea73aac9a7af2c90be710bd6.
Apply ordinal_Hered with x1, Sing 2 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H3.
Assume H3: Sing 2 ∈ Sing (Sing 1).
Apply Sing2_notin_SingSing1.
The subproof is completed by applying H3.
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