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Proof step 7 from proof lls-unfold-tail (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 8:
((lls(r0, r2, x + a ') * P))(H) ⊦ ∃ r. ((lls(r0, r, x) * r => a × r2 * P))(H)
Proof step 13:
∃ r. ((lls(r0, r, x) * r => a × r2 * P))(H) ⊦ ((lls(r0, r2, x + a ') * P))(H)

Rule argument

pos: right 1

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