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Proof step 70 from proof maxpath-object (previous step)

st[refs .first -- fs '] = refval(r0), maxpath(str, refs .first, st) = # refs, # refs ≤ maxpath(str, r0, st), is_obj(str, refs .first, st), fs ' ∈ instfields(st[refs .first -- _type] .type .class), validrefs(str, refs, st[refs .first -- _type] .type, st) ⊦ # validrefset(str, refs .first, st) = 0, validrefset(str, refs .first, st) = ∅, refs = [], cyclic(str, refs .first, st), junkref(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 69:
refs = r + refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) = # refs, # refs ≤ maxpath(str, r0, st), is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, refs, st[r -- _type] .type, st) ⊦ # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, refs = [], cyclic(str, r, st), junkref(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)]]