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Proof step 7 from proof lls-consecutive (previous step)

(((r0 => a × r * lls(r, r1, x0)) * lls(r1, r2, y) * P))(H), ((lls(r, r2, x0 + y) * P * r0 => a × r))(H), ∀ r0, r1, r2, y, P, H. ((lls(r0, r1, x0) * lls(r1, r2, y) * P))(H) → ((lls(r0, r2, x0 + y) * P))(H) ⊦ ∃ r. (((r0 => a × r * lls(r, r2, x0 + y)) * P))(H)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: r

Additional information

Used simplifier rules: sep-ass: ⊦ (P0 * P1) * P2 = P0 * P1 * P2; from specification heap-sep%sep-com: ⊦ P0 * P1 = P1 * P0; from specification heap-sep Used terms: r