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Proof step 66 from proof junkref-addobj-01 (previous step)

fis .keys = instfields(class), newref(r, st), class+∃(str, class), validfieldinits(fis, st), junkrefs(str, r ' + refs0, mkclasstype(class), addobj(r, class, fis, st)), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ r = jvmref, is_abstract(class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ junkrefs(str, refs, fs .type, st)))
Proof step 65:
is_obj(str, r, addobj(r, class, fis, st)) ∧ (addobj(r, class, fis, st)[r -- _type]) .type ≤ mkclasstype(class), fis .keys = instfields(class), newref(r, st), class+∃(str, class), validfieldinits(fis, st), refs0 ≠ [] ∧ (∃ fs. fs ' ∈ instfields((addobj(r, class, fis, st)[r -- _type]) .type .class) ∧ is_referencevalue(addobj(r, class, fis, st)[r -- fs ']) ∧ refs0 .first = (addobj(r, class, fis, st)[r -- fs ']) .refval ∧ junkrefs(str, refs0, fs .type, addobj(r, class, fis, st))), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ r = jvmref, is_abstract(class)

Rule argument

[crewrite-arg: junkrefs-class , F , [st, ty, refs, r, str] → [addobj(r, class, fis, st), mkclasstype(class), refs0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ fis .keys = instfields(class) ∧ class+∃(str, class) ∧ validfieldinits(fis, st) ∧ ¬ is_abstract(class) ∧ r ≠ jvmref → is_obj (str, r, addobj(r, class, fis, st))], [CSIMPSEQ : ⊦ fis .keys = instfields(class) → ¬ _type ∈ fis], [CSIMPSEQ : ¬ _type ∈ fis ⊦ (addobj(r, class1, fis, st) [r -- _type ] ) = typeval(mkclasstype(class1))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2], [CSIMPSEQ : ⊦ class ≤ class])], [EXTRATERMS : (addobj(r, class, fis, st), mkclasstype(class), refs0, r, str)]]