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Proof step 69 from proof cyclic-addobj (previous step)

fis .keys = instfields(class), fis[fs '] = refval(r), validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), fs ' ∈ instfields(class), fs ' ∈ fis, ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, fs ' ∈ instfields(class) ∧ is_referencevalue(addobj(r, class, fis, st)[r -- fs ']) ∧ r = (addobj(r, class, fis, st)[r -- fs ']) .refval ∧ validrefs(str, r ', fs .type, addobj(r, class, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 68:
fis[fs '] = refval(r), fis .keys = instfields(class), fs ' ∈ fis, fs ' ∈ instfields(class), newref(r, st), is_obj(str, r, addobj(r, class, fis, st)), validfieldinits(fis, st), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, validrefs(str, r ', fs .type, addobj(r, class, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ sk ∈ fis → (addobj(r, class, fis, st) [r -- sk ] ) = fis[sk]])]]