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Proof step 125 from proof exvalidrefs-03 (previous step)

st[r -- _type] .type = mkclasstype(class1), is_typevalue(st[r -- _type]), r -- _type ∈ st, class+∃(str, class1), class1 ≤ class2, r ∈ st, class1 ≤ class, class2 ≤ class, mkfs(class0, mkclasstype(class2), fieldvar) ' ∈ instfields(class), r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class1)) ∈ st ∧ goodfieldsandtypes(r, instfields(class1), st), ∀ r, str, st0. # st0 .refs < # st .refs → ( ¬ junkref(str, r, st0) ∧ ¬ cyclic(str, r, st0) ∧ is_obj(str, r, st0) ∧ r ≠ jvmref ∧ (∃ fs, class. fs ' ∈ instfields(class) ∧ fs .type ≤ mkclasstype(class) ∧ st0[r -- _type] .type ≤ fs .type) → (∃ refs. validrefs(str, refs, st0[r -- _type] .type, st0) ∧ refs ≠ [] ∧ refs .first = r ∧ refs .last = jvmref)) ⊦ r = jvmref, is_abstract(class1), cyclic(str, r, st), is_referencevalue(st[r -- mkfs(class0, mkclasstype(class2), fieldvar) ']), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ refs .first = r ∧ refs .last = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 124:
st[r -- _type] = typeval(mkclasstype(class1)), mkfs(class0, mkclasstype(class2), fieldvar) ' ∈ instfields(class), class2 ≤ class, class1 ≤ class, r ∈ st, class1 ≤ class2, class+∃(str, class1), r -- _type ∈ st, goodfieldsandtypes(r, instfields(class1), st), ∀ r, str, st0. # st0 .refs < # st .refs → ( ¬ junkref(str, r, st0) ∧ ¬ cyclic(str, r, st0) ∧ is_obj(str, r, st0) ∧ r ≠ jvmref ∧ (∃ fs, class. fs ' ∈ instfields(class) ∧ fs .type ≤ mkclasstype(class) ∧ st0[r -- _type] .type ≤ fs .type) → (∃ refs. validrefs(str, refs, st0[r -- _type] .type, st0) ∧ refs ≠ [] ∧ refs .first = r ∧ refs .last = jvmref)) ⊦ r = jvmref, is_referencevalue(st[r -- mkfs(class0, mkclasstype(class2), fieldvar) ']), cyclic(str, r, st), is_abstract(class1), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ refs .first = r ∧ refs .last = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ mkclasstype(class) = mkclasstype(class0) ↔ class = class0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]