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Proof step 64 from proof junkref-addarray-01 (previous step)

junkref(str, r, addarray(r, ty, vals, st)), newref(r, st), is_classtype(ty), class∃(str, ty .class), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty) ⊦ r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ junkref(str, r, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[r -- _type] .type, st))
Proof step 63:
∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, (addarray(r, ty, vals, st)[r -- _type]) .type, addarray(r, ty, vals, st)), newref(r, st), is_classtype(ty), class∃(str, ty .class), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty) ⊦ r = jvmref

Rule argument

[crewrite-arg: junkref-def , F , [st, r, str] → [addarray(r, ty, vals, st), r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, vals, st), r, str)]]