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Proof step 45 from proof unchanged-junkrefs-level (previous step)

st[r -- _type] .type = mkclasstype(class0), st1[r -- _type] = st[r -- _type], st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), junkrefs(str, r1 ' + refs, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), st[r -- _type] .type ≤ ty, is_valid_ref(str0, r, st1), is_obj(str, r, st1), is_obj(str, r, st), unchangedNorec(r, st, st1), is_valid_ref(str0, r, st), level⊆(str, str0), unchanged(str0, r, st, st1), is_classtype(st[r -- _type] .type), ∀ str1, st0, st2, str2, ty0. unchanged(str1, r1, st0, st2) ∧ junkrefs(str2, r1 ' + refs, ty0, st0) ∧ level⊆(str2, str1) → junkrefs(str2, r1 ' + refs, ty0, st2), ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)), ∀ fs. fs ' ∈ instfields(class0) → st[r -- fs '] = st1[r -- fs '] ⊦ r = jvmref, is_referencevalue(st1[r -- mkfs(class, ty1, fieldvar) ']) ∧ r1 = st1[r -- mkfs(class, ty1, fieldvar) '] .refval ∧ junkrefs(str, st1[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st1[r -- _type] = st[r -- _type], st[r -- _type] .type = mkclasstype(class0), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), junkrefs(str, r1 ' + refs, ty1, st), unchanged(str0, r, st, st1), level⊆(str, str0), is_obj(str0, r, st), unchangedNorec(r, st, st1), is_obj(str, r, st), is_obj(str, r, st1), is_valid_ref(str0, r, st1), is_classtype(ty), class0 ≤ ty .class, ∀ fs. fs ' ∈ instfields(class0) → st[r -- fs '] = st1[r -- fs '], ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)), ∀ str1, st0, st2, str2, ty0. unchanged(str1, r1, st0, st2) ∧ junkrefs(str2, r1 ' + refs, ty0, st0) ∧ level⊆(str2, str1) → junkrefs(str2, r1 ' + refs, ty0, st2) ⊦ r = jvmref, is_referencevalue(st1[r -- mkfs(class, ty1, fieldvar) ']) ∧ r1 = st1[r -- mkfs(class, ty1, fieldvar) '] .refval ∧ junkrefs(str, st1[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , test-10, ⊦ is_classtype (mkclasstype(class))], [CSIMPNAMEDSEQ : typefuns, , class-le, ⊦ mkclasstype(class) ≤ ty ↔ is_classtype(ty) ∧ class ≤ ty .class], [CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPNAMEDSEQ : addfuns, , is_valid_ref-type-01, ⊦ st[r -- _type] .type = mkclasstype(class) → ( is_valid_ref(str, r, st) ↔ is_obj(str, r, st))])]]