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Proof step 31 from proof cyclic-addobj (previous step)

fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r1), mkfs(class0, ty, fieldvar) ' ∈ fis, 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) ⊦ r = jvmref, r = r1, cyclic(str, r1, st), junkref(str, r1, st), mkfs(class0, ty, fieldvar) ' ∈ fis ∧ mkfs(class0, ty, fieldvar) ' ∈ instfields(class) ∧ fis[mkfs(class0, ty, fieldvar) '] = refval(r), ¬ dups(refs) ∧ ¬ r1 ∈ refs ∧ ¬ r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
fis[mkfs(class0, ty, fieldvar) '] = refval(r1), fis .keys = instfields(class), validrefs(str, r1 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), newref(r, st), is_obj(str, r, addobj(r, class, fis, st)), validfieldinits(fis, st), mkfs(class0, ty, fieldvar) ' ∈ fis, ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = r1, r = jvmref, junkref(str, r1, st), cyclic(str, r1, st), ¬ dups(refs) ∧ ¬ r1 ∈ refs ∧ ¬ r ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) = refval(r0) ↔ r = r0])]]