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Theorem trp-branch-rec

⊦ trp(r, branch(t1, a, t2), b ' + p, r0) = _∃(λ r1, r2. r => mknode(r1, a, r2) * (b ⊃ tr(r1, t1) * trp(r2, t2, p, r0);trp(r1, t1, p, r0) * tr(r2, t2)))