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Proof step 2 from proof lls-unfold-tail (previous step)

⊦ lls(r0, r2, x + a ')(H) ↔ (_∃(λ r1. lls(r0, r1, x) * r1 => a × r2))(H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ lls(r0, r2, x + a ')(H) ↔ (∃ r. ((lls(r0, r, x) * r => a × r2))(H))

Rule argument

Additional information

Used simplifier rules: ⊦ (_∃ rP)(H) ↔ (∃ r. rP(r)(H)); (s)