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Proof step 1 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

[EXRARG : pos: left 1, [extquanttermlist: (emp)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ emp * P = P], [CSIMPSEQ : ⊦ (P0 * P1) * P2 = P0 * P1 * P2], [CSIMPSEQ : ⊦ P0 * P1 = P1 * P0])], [EXTRATERMS : (emp)]]