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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: Subq x0 x1.
Let x2 of type ι be given.
Assume H3: prim1 x2 (56ded.. x0).
Apply unknownprop_08307bdbb7a97185122351ee4a5953158d8e3481a107df1f643fe83793e0fbe1 with x0, x2, prim1 x2 (56ded.. x1) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H3.
Let x3 of type ι be given.
Assume H4: (λ x4 . and (prim1 x4 x0) (1beb9.. x4 x2)) x3.
Apply H4 with prim1 x2 (56ded.. x1).
Assume H5: prim1 x3 x0.
Assume H6: 1beb9.. x3 x2.
Apply unknownprop_5a5c48612170d465714265799d25003db15da4f2d5d05eaf9fa403276d7d9f0a with x1, x2, x3 leaving 3 subgoals.
The subproof is completed by applying H1.
Apply H2 with x3.
The subproof is completed by applying H5.
The subproof is completed by applying H6.