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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιι be given.
Let x2 of type ιι be given.
Assume H0: ∀ x3 . x3x0x1 x3x2 x3.
Let x3 of type ι be given.
Assume H1: x3famunion x0 x1.
Apply famunionE_impred with x0, x1, x3, x3famunion x0 x2 leaving 2 subgoals.
The subproof is completed by applying H1.
Let x4 of type ι be given.
Assume H2: x4x0.
Assume H3: x3x1 x4.
Apply famunionI with x0, x2, x4, x3 leaving 2 subgoals.
The subproof is completed by applying H2.
Apply H0 with x4, x3 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.