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Proof step 5 from proof lls-unfold-tail (previous step)

⊦ lls(r0, r2, x + a ')(H) ↔ (∃ r. ((lls(r0, r, x) * r => a × r2))(H)), ∀ P. ((lls(r0, r2, x + a ') * P))(H) ↔ (∃ r. ((lls(r0, r, x) * r => a × r2 * P))(H))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ ((lls(r0, r2, x + a ') * P))(H) ↔ (∃ r. ((lls(r0, r, x) * r => a × r2 * P))(H)), lls(r0, r2, x + a ')(H) ↔ (∃ r. ((lls(r0, r, x) * r => a × r2))(H))

Proof step 5 from proof lls-unfold-tail (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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