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Proof step 59 from proof insert-contract (previous step)

# x0 = # rx0, # x1 = 1 + # rx2, x0 ≠ [], x1 ≠ [], ((r => mkcell(rx0.last, r0, a) * dls(head, prev, x0 + x1, rx0 + r0 ' + rx2, next, tail) * P))(H) ⊦ ⟪insert(r; H)⟫ ((dls(head, prev, x0 + a ' + x1, rx0 + r ' + r0 ' + rx2, next, tail) * P))(H)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ x ≠ [] ↔ (∃ y, a. x = y + a ')

Rule argument

spec: list inst: name: lastdiv-rew seq: ⊦ x ≠ [] ↔ (∃ y, a. x = y + a ') subst: [x] → [x0] flags: rewrite

Additional information

[Concretesimprules(()), Extraterms((x0))]