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Proof step 1 from proof del-lists-unions (conclusion)

⊦ H0 ⊥ H1 ∧ del-list(rx, n)(H0) → (((del-list(rx, m) * P))(H0 ∪ H1) ↔ n = m ∧ P(H1))

System applied rule normalize

And obtained the following new goals

Proof step 2:
del-list(rx, n)(H0), H0 ⊥ H1 ⊦ ((del-list(rx, m) * P))(H0 ∪ H1) ↔ n = m ∧ P(H1)

Rule argument

Additional information