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Proof step 16 from proof ll-trav2-end (previous step)

((lls(r0, r1, y) * r1 => b × r2 * r2 => a × null * P))(H) ⊦ r1 = null, r2 = null, ∃ x, x0, a0. y + b ' + a ' = x + a0 ' + x0 ∧ ((lls(r0, r1, x) * r1 => a0 × r2 * lls(r2, null, x0) * P))(H)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 3 terms: y, a ', b

Additional information

Used simplifier rules: lls-one: ⊦ lls(r0, r1, a ') = r0 => a × r1;%a: ⊦ (x + y) + z = x + y + z; from specification list%sep-ass: ⊦ (P0 * P1) * P2 = P0 * P1 * P2; from specification heap-sep%sep-com: ⊦ P0 * P1 = P1 * P0; from specification heap-sep Used terms: y, a ', b