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Proof step 1 from proof insert-simple-contract (previous step)

# x0 = # rx0, x0 ≠ [], x1 ≠ [], ((r => mkcell(rx0.last, rx1.first, a) * dls(head, prev, x0 + x1, rx0 + rx1, next, tail) * P))(H) ⊦ ⟪insert(r; H)⟫ ((dls(head, prev, x0 + a ' + x1, rx0 + r ' + rx1, next, tail) * P))(H)

Lemma insert-contract