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Proof step 46 from proof maxpath-array (previous step)

st[refs .first -- i '] = refval(r0), maxpath(str, refs .first, st) = # refs, 0 ≤ i, i < st[refs .first -- _length] .intval, is_array(str, refs .first, st), # refs ≤ maxpath(str, r0, st), validrefs(str, refs, st[refs .first -- _type] .type, st), 0 < st[refs .first -- _length] .intval ⊦ # validrefset(str, refs .first, st) = 0, validrefset(str, refs .first, st) = ∅, refs = [], junkref(str, refs .first, st), cyclic(str, refs .first, st), dups(refs), has_reffield(refs .last, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 45:
refs = r + refs0, st[r -- i '] = refval(r0), maxpath(str, r, st) = # refs, 0 ≤ i, i < st[r -- _length] .intval, is_array(str, r, st), # refs ≤ maxpath(str, r0, st), validrefs(str, refs, st[r -- _type] .type, st), 0 < st[r -- _length] .intval ⊦ # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, refs = [], junkref(str, r, st), cyclic(str, r, st), dups(refs), has_reffield(refs .last, st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r, refs0] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs, r, refs0)]]