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Proofgold Proof

pf
Let x0 of type ι → (ι → ο) → ο be given.
Let x1 of type ι → (ι → ο) → ο be given.
Assume H0: ed32f.. x0 x1.
Let x2 of type ι be given.
Assume H1: ordinal x2.
Assume H2: PNo_lenbdd x2 x0.
Assume H3: PNo_lenbdd x2 x1.
Apply unknownprop_6419f8fc1ff70ca950cf4e79a0f0cff9b9f9b876ea55c76aec20f2ed9adc5971 with x0, x1, x2, 47618.. x0 x1 (7b9f3.. x0 x1) (ce2d5.. x0 x1) leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Assume H4: and (ordinal (7b9f3.. x0 x1)) (47618.. x0 x1 (7b9f3.. x0 x1) (ce2d5.. x0 x1)).
Assume H5: ∀ x3 . prim1 x3 (7b9f3.. x0 x1) ⟶ ∀ x4 : ι → ο . not (47618.. x0 x1 x3 x4).
Apply H4 with 47618.. x0 x1 (7b9f3.. x0 x1) (ce2d5.. x0 x1).
Assume H6: ordinal (7b9f3.. x0 x1).
Assume H7: 47618.. x0 x1 (7b9f3.. x0 x1) (ce2d5.. x0 x1).
The subproof is completed by applying H7.
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