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Proof step 9 from proof validsubset-addobj-01 (previous step)

fis .keys = instfields(class), newref(r, st), class∃(str, class), validfieldinits(fis, st) ⊦ r = jvmref, valid⊆(str, st, addobj(r, class, fis, st)), is_abstract(class), junkrefs(str, fis .vals, st), class+∃(str, class) ∧ (sk × refval(r0) ∈ fis → ¬ junkref(str, r0, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ junkrefs(str, vals, st) ↔ (∃ r. refval(r) ∈ vals ∧ junkref(str, r, st))
Proof step 8:
fis .keys = instfields(class), newref(r, st), class∃(str, class), validfieldinits(fis, st) ⊦ r = jvmref, valid⊆(str, st, addobj(r, class, fis, st)), is_abstract(class), ∃ r. refval(r) ∈ fis .vals ∧ junkref(str, r, st), class+∃(str, class) ∧ (sk × refval(r0) ∈ fis → ¬ junkref(str, r0, st))

Rule argument

[crewrite-arg: junkreflist-def , F , [st, vals, str] → [st, fis .vals, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis .vals, str)]]