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Proof step 129 from proof exvalidrefs-maxlength (previous step)

st[r -- _type] .type = mkclasstype(class0), st[r -- _type] = typeval(mkclasstype(class0)), is_reftype(ty), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), is_obj(str, r, st), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class0, st), r ∈ st, ∀ r, str, st0. # st0 .refs < # st .refs → ( true → cyclic(str, r, st0) ∨ junkref(str, r, st0) ∨ (∃ refs. validrefs(str, refs, st0[refs .first -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st0))) ⊦ r = jvmref, is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']), cyclic(str, r, st), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 128:
st[r -- _type] = typeval(mkclasstype(class0)), r ∈ st, is_obj(r, class0, st), r -- _type ∈ st, is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), is_reftype(ty), ∀ r, str, st0. # st0 .refs < # st .refs → ( true → cyclic(str, r, st0) ∨ junkref(str, r, st0) ∨ (∃ refs. validrefs(str, refs, st0[refs .first -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st0))) ⊦ r = jvmref, cyclic(str, r, st), is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) = mkclasstype(class0) ↔ class = class0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty])]]