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Proof step 66 from proof maxpath-object (previous step)

maxpath(str, r, st) = 1 + # refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs0 < maxpath(str, r0, st) ⊦ refs0 = [], validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, r ∈ refs0, dups(refs0), junkref(str, r, st), cyclic(str, r, st), has_reffield(refs0 .last, st)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 65:
refs0 = refs + r1 ', maxpath(str, r, st) = 1 + # refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs0 < maxpath(str, r0, st) ⊦ refs0 = [], validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, r ∈ refs0, dups(refs0), junkref(str, r, st), cyclic(str, r, st), has_reffield(r1, st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .last ∧ refs0 = refs .butlast ↔ refs = refs0 + r ' ,[refs, r, refs0] → [refs0, r1, refs] ,T ,list-last ,references-olista ,last-elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .last ∧ refs0 = refs .butlast ↔ refs = refs0 + r '])], [EXTRATERMS : (refs0, r1, refs)]]