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Proof step 1 from proof mapex-new (conclusion)

¬ r ∈ H, r ≠ null ⊦ P(H) ↔ ((r =>_ * P))(H ++ r)

System applied rule normalize

And obtained the following new goals

Proof step 2:
⊦ P(H) ↔ ((r =>_ * P))(H ++ r), r = null, r ∈ H

Rule argument

Additional information