| ¬ ( r0 ≠ jvmref ∧ ¬ validref(str, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval, mkfs(class, ty0, fieldvar) .type, st) ∧ mkfs(class, ty0, fieldvar) ' ∈ instfields(class0) ∧ is_reftype(mkfs(class, ty0, fieldvar) .type)), st0[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- _type] = typeval(mkclasstype(class0)), st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), acc + r1 ' = r2 ' + refs, st ⊆ st0, validref(str, r0, mkclasstype(class0), st), class+∃(str, class0), is_obj(r0, class0, st0), r0 -- _type ∈ st0, r0 ∈ st0, validrefs(str, r2 ' + refs, ty0, st0), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), class0 ≤ class1, ∀ str, r, st, st0, r1, ty. validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ r ∈ acc ∧ validrefs(str, acc + r1 ', ty, st0) → validref(str, r1, st[r1 -- _type] .type, st) ⊦ r0 = jvmref, validref(str, r1, st[r1 -- _type] .type, st), is_abstract(class0), ¬ r2 ∈ acc ∧ r2 ≠ r1, r1 ≠ r2 ∧ ¬ r1 ∈ refs |
st0[r0 -- _type] = typeval(mkclasstype(class0)), st[r0 -- _type] = typeval(mkclasstype(class0)), st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), acc + r1 ' = r2 ' + refs, st ⊆ st0, validref(str, r0, mkclasstype(class0), st), class+∃(str, class0), is_obj(r0, class0, st0), r0 -- _type ∈ st0, r0 ∈ st0, validrefs(str, r2 ' + refs, ty0, st0), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), class0 ≤ class1, ∀ str, r, st, st0, r1, ty. validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ r ∈ acc ∧ validrefs(str, acc + r1 ', ty, st0) → validref(str, r1, st[r1 -- _type] .type, st) ⊦ r0 = jvmref, validref(str, r1, st[r1 -- _type] .type, st), is_abstract(class0), ¬ r2 ∈ acc ∧ r2 ≠ r1, r1 ≠ r2 ∧ ¬ r1 ∈ refs, ¬ validref(str, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval, ty0, st) ∧ is_reftype(ty0)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])]]