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Proof step 1 from proof tr-unfold (conclusion)

⊦ r ≠ null → (((tr(r, t) * P))(H) ↔ (∃ t0, t1, a, r0, r1. t = branch(t0, a, t1) ∧ ((r => mknode(r0, a, r1) * tr(r0, t0) * tr(r1, t1) * P))(H)))

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information