Let α and p be given.

Assume H1.

Apply H1 to the current goal.

Let β be given.

Assume H2.

Apply H2 to the current goal.

Assume _ H3.

Apply H3 to the current goal.

Assume H3.

Apply H3 to the current goal.

Assume _ H4 H5.

An exact proof term for the current goal is H4 H5.

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