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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.
Apply H0 with ordinal (d3786.. x0 x1).
Assume H2: TransSet x0.
Assume H3: ∀ x2 . prim1 x2 x0TransSet x2.
Apply H1 with ordinal (d3786.. x0 x1).
Assume H4: TransSet x1.
Assume H5: ∀ x2 . prim1 x2 x1TransSet x2.
Apply ordinal_In_Or_Subq with x0, x1, ordinal (d3786.. x0 x1) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Assume H6: prim1 x0 x1.
Apply unknownprop_71c983f9883b4f28b7b9554926463bb4627a33e675a17eaba24400b257e59781 with x0, x1, λ x2 x3 . ordinal x3 leaving 2 subgoals.
Apply H4 with x0.
The subproof is completed by applying H6.
The subproof is completed by applying H0.
Assume H6: Subq x1 x0.
Apply unknownprop_c3bea5de1408165b06631f86b9f132e6a4154b60456b567e9159f0db1e9656af with x0, x1, λ x2 x3 . ordinal x3.
Apply unknownprop_71c983f9883b4f28b7b9554926463bb4627a33e675a17eaba24400b257e59781 with x1, x0, λ x2 x3 . ordinal x3 leaving 2 subgoals.
The subproof is completed by applying H6.
The subproof is completed by applying H1.