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Proof step 150 from proof pathex-put-nopathex (previous step)

is_array(str, r, st), ∀ val, r0, sk, st, r, str, refs. # refs < # [] → ( validrefs(str, r ' + refs, st[r -- _type] .type, st) → sk = _type ∨ path∃(str, r, r0, st) ∨ junkref(str, r, st) ∨ path∃(str, r, (r ' + refs) .last, st[r0 -- sk, val])) ⊦ sk = _type, r = jvmref, junkref(str, r, st), path∃(str, r, r0, st), is_valid_ref(str, r, st[r0 -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , r ≠ r0 → ( is_valid_ref(str, r0, st[r -- sk, val]) ↔ is_valid_ref(str, r0, st)) ,[val, sk, r, st, r0, str] → [val, sk, r0, st, r, str] ,F ,addfuns , ,is_valid_ref-put-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → is_valid_ref(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_valid_ref(str, r, st) ∧ r ≠ jvmref → junkref(str, r, st)])], [EXTRATERMS : (val, sk, r0, st, r, str)]]