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Proof step 33 from proof nopathex-badarrayfield (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ¬ contains(str, st[refs .first -- _type] .type, st[refs .last -- _type] .type) ∧ refs ≠ [] ∧ refs .first ≠ refs .last ∧ refs .last ≠ jvmref → ¬ validrefs(str, refs, ty, st)
Proof step 32:
¬ ( ¬ contains(str, st[(r ' + refs0) .first -- _type] .type, st[(r ' + refs0) .last -- _type] .type) ∧ r ' + refs0 ≠ [] ∧ (r ' + refs0) .first ≠ (r ' + refs0) .last ∧ (r ' + refs0) .last ≠ jvmref), fs ' = _length, validrefs(str, r ' + refs0, st[r -- _type] .type, st), is_arraytype(st[refs0 .last -- _type] .type) ⊦ refs0 = [], refs0 .last = jvmref, contains(str, st[r -- _type] .type, fs)

Rule argument

[crewrite-arg: validrefs-not-contains , F , [st, ty, refs, str] → [st, st[r -- _type] .type, r ' + refs0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type, r ' + refs0, str)]]