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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: 74e69.. x0.
Assume H1: 74e69.. x1.
Let x2 of type ιο be given.
Assume H2: x2 5e331...
Assume H3: ∀ x3 x4 . x2 x3x2 x4x2 (a3eb9.. x3 x4).
Assume H4: ∀ x3 x4 . x2 x3x2 x4x2 (bf68c.. x3 x4).
Apply H4 with x0, x1 leaving 2 subgoals.
Apply H0 with x2 leaving 3 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply H1 with x2 leaving 3 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.