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Theorem tr-fold

⊦ (r => mknode(r0, a, r1) * tr(r0, t0) * tr(r1, t1) * P)(H) ↔ (tr(r, branch(t0, a, t1)) * P)(H) ∧ True(H[r] = mknode(r0, a, r1))

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Infos about the proof