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Proof step 53 from proof cyclic-addobj (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
fis .keys = instfields(class), validrefs(str, r ' + refs0, mkclasstype(class), addobj(r, class, fis, st)), validfieldinits(fis, st), is_obj(str, r, addobj(r, class, fis, st)), newref(r, st), ∀ fs, r0. fs ' × refval(r0) ∈ fis → ¬ junkref(str, r0, st) ∧ ¬ cyclic(str, r0, st) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0), ∃ fs. fs ' ∈ fis ∧ fs ' ∈ instfields(class) ∧ fis[fs '] = refval(r)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([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 : ⊦ is_obj(str, r, st) → is_valid_ref(str, r, st)])]]