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Proof step 6 from proof pathex-putbyteval-01 (previous step)

okbytearray(r2, st), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st[r2 -- i ', byteval(by)]) ⊦ refs0 = [], junkref(str, r, st), path∃(str, r, refs0 .last, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st))
Proof step 5:
okbytearray(r2, st), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st[r2 -- i ', byteval(by)]) ⊦ refs0 = [], junkref(str, r, st), ∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = refs0 .last ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st)

Rule argument

[crewrite-arg: pathex-def , F , [st, r0, r, str] → [st, refs0 .last, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, refs0 .last, r, str)]]