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Proof step 75 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, ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (addobj(r, class, fis, st)[r -- _type]) .type, addobj(r, class, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 74:
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, ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(class), addobj(refs .first, class, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ¬ _type ∈ fis ⊦ (addobj(r, class1, fis, st) [r -- _type ] ) = typeval(mkclasstype(class1))], [CSIMPSEQ : ⊦ fis .keys = instfields(class) → ¬ _type ∈ fis])]]