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Proof step 4 from proof lls-unfold-tail (previous step)

∀ P. ((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))

User applied rule all left

And closed the goal!

Rule argument

pos: left 1 terms: emp abort: F discard: T computed: F

Additional information

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