Let x0 of type ι be given.

Assume H0: ordinal x0.

Let x1 of type ι → ο be given.

Apply andI with cae4c.. (7eb85.. x0 x1) x0 x1, bc2b0.. (0dfb2.. x0 x1) x0 x1 leaving 2 subgoals.

Let x2 of type ι be given.

Assume H1: ordinal x2.

Let x3 of type ι → ο be given.

Assume H2: 7eb85.. x0 x1 x2 x3.

Apply H2 with 40dde.. x2 x3 x0 x1.

Assume H3: prim1 x2 x0.

Assume H4: 40dde.. x2 x3 x0 x1.

The subproof is completed by applying H4.

Let x2 of type ι be given.

Assume H1: ordinal x2.

Let x3 of type ι → ο be given.

Assume H2: 0dfb2.. x0 x1 x2 x3.

Apply H2 with 40dde.. x0 x1 x2 x3.

Assume H3: prim1 x2 x0.

Assume H4: 40dde.. x0 x1 x2 x3.

The subproof is completed by applying H4.

■

Proofgold Proof