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Proof step 71 from proof cyclic-addobj (previous step)

is_obj(str, r, addobj(r, class, fis, st)) ∧ (addobj(r, class, fis, st)[r -- _type]) .type ≤ mkclasstype(class), 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, r ' = [] ∨ (∃ fs. fs ' ∈ instfields((addobj(r, class, fis, st)[r -- _type]) .type .class) ∧ is_referencevalue(addobj(r, class, fis, st)[r -- fs ']) ∧ r ' .first = (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 70:
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, ∃ fs0. fs0 ' ∈ instfields(class) ∧ is_referencevalue(addobj(r, class, fis, st)[r -- fs0 ']) ∧ r = (addobj(r, class, fis, st)[r -- fs0 ']) .refval ∧ validrefs(str, r ', fs0 .type, addobj(r, class, fis, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ' .first = r], [CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ class ≤ class], [CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2], [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], [CSIMPSEQ : ⊦ r ' ≠ []])]]