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Proof step 12 from proof nopathex-badarrayfield (previous step)

fs ' = _length, validrefs(str, refs0 .last ' + refs0, st[refs0 .last -- _type] .type, st), is_arraytype(st[refs0 .last -- _type] .type) ⊦ refs0 = [], refs0 .last = jvmref, type∃(str, st[refs0 .last -- _type] .type)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
refs0 = refs + r ', fs ' = _length, validrefs(str, r ' + refs0, st[r -- _type] .type, st), is_arraytype(st[r -- _type] .type) ⊦ refs0 = [], r = jvmref, type∃(str, st[r -- _type] .type)

Rule argument

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

Additional information

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