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Proof step 27 from proof nopathex-badarrayfield (previous step)

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

User applied rule insert elim lemma

And obtained the following new goals

Proof step 26:
refs0 = refs + r0 ', fs ' = _length, validrefs(str, r ' + refs0, st[r -- _type] .type, st), is_arraytype(st[r0 -- _type] .type), contains(str, st[r -- _type] .type, st[r0 -- _type] .type), is_valid_ref(str, r, st) ⊦ r = r0, refs0 = [], r0 = jvmref, r = jvmref, contains(str, st[r -- _type] .type, fs)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .last ∧ refs0 = refs .butlast ↔ refs = refs0 + r ' ,[refs, r, refs0] → [refs0, r0, refs] ,T ,list-last ,references-olista ,last-elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .last ∧ refs0 = refs .butlast ↔ refs = refs0 + r '])], [EXTRATERMS : (refs0, r0, refs)]]