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Proof step 31 from proof unchanged-junkrefs-level (previous step)

is_obj(str0, r, st) ∧ r ≠ r1, st1[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st1[r -- _type] = st[r -- _type], st[r -- _type] .type = mkclasstype(class0), st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), 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), class0 ≤ class1, ∀ 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)) ⊦ r = jvmref, r1 = jvmref, path∃(str0, r, r1, st1), unchanged(str0, r1, st, st1), junkrefs(str, r1 ' + refs, ty1, st1), ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ ( st[r -- fs '] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∧ path∃(str0, st[r -- fs '] .refval, r1, st) ∨ st[r -- fs '] .refval = jvmref ∧ r1 = jvmref), st[r1 -- _type] .type ≤ ty1 ∧ is_valid_ref(str0, r1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r -- _type] .type = mkclasstype(class0), st1[r -- _type] = st[r -- _type], st1[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), class0 ≤ class1, is_valid_ref(str0, r, st1), is_obj(str, r, st1), is_obj(str, r, st), unchangedNorec(r, st, st1), is_obj(str0, r, st), level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r1 ' + refs, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), ∀ 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 = r1, r1 = jvmref, r = jvmref, junkrefs(str, r1 ' + refs, ty1, st1), unchanged(str0, r1, st, st1), path∃(str0, r, r1, st1), st[r1 -- _type] .type ≤ ty1 ∧ is_valid_ref(str0, r1, st), ∃ fs. fs ' ∈ instfields(class0) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∧ path∃(str0, st[r -- fs '] .refval, r1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , sel-02, ⊦ mkclasstype(class) .class = class], [CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]