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Proof step 2 from proof compact-local (previous step)

⊦ ((!(me, O, P0) * !(me, O, P1)))(H) ↔ !(me, O, P0 * P1)(H)

User applied rule case distinction

And obtained the following new goals

Proof step 3:
((!(me, O, P0) * !(me, O, P1)))(H) ⊦ !(me, O, P0 * P1)(H)
Proof step 11:
!(me, O, P0 * P1)(H) ⊦ ((!(me, O, P0) * !(me, O, P1)))(H)

Rule argument

pos: right 1

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