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Proof step 40 from proof cyclic-addobj (previous step)

st[r -- mkfs(class0, ty, fieldvar) '] = refval(r1), fis .keys = instfields(class), validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), validrefs(str, r1 ' + refs, ty, addobj(r, class, fis, st)), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, r = jvmref, mkfs(class0, ty, fieldvar) ' ∈ fis, ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r), r ≠ r1 ∧ ¬ r ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs)

User applied rule insert equation

And obtained the following new goals

Proof step 39:
st[r -- mkfs(class0, ty, fieldvar) '] = refval(r1), fis .keys = instfields(class), validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), mkfs(class0, ty, fieldvar) ' ∈ fis .keys, validrefs(str, r1 ' + refs, ty, addobj(r, class, fis, st)), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, r = jvmref, mkfs(class0, ty, fieldvar) ' ∈ fis, ∃ fs. fs ' ∈ fis ∧ fs ' ∈ fis .keys ∧ fis[fs '] = refval(r), r ≠ r1 ∧ ¬ r ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs)

Rule argument

[inserteqarg: pos: left 2,T,F,()]

Additional information

[[CONCRETESIMPRULES : ()]]