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Proof step 57 from proof cyclic-addobj (previous step)

refs = r + refs0 ∧ refs ≠ [], fis .keys = instfields(class), newref(r, st), is_obj(str, r, addobj(r, class, fis, st)), validfieldinits(fis, st), dups(refs), validrefs(str, refs, mkclasstype(class), addobj(r, class, fis, st)), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
fis .keys = instfields(class), newref(r, st), is_obj(str, r, addobj(r, class, fis, st)), validfieldinits(fis, st), validrefs(str, r ' + refs0, mkclasstype(class), addobj(r, class, fis, st)), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ newref(r, st) → r ≠ jvmref], [CSIMPSEQ : ⊦ dups(r ' + refs) ↔ ¬ ¬ (r ∈ refs ∨ dups(refs))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]