| is_obj(str, r, st0 ∪ st) ∧ (st0 ∪ st)[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields((st0 ∪ st)[r -- _type] .type .class) ∧ is_referencevalue((st0 ∪ st)[r -- fs ']) ∧ acc .first = (st0 ∪ st)[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st0 ∪ st)), is_obj(str, r, st), ∀ str, ty, st0, st. junkrefs(str, acc, ty, st0 ∪ st) → junkrefs(str, acc, ty, st) ⊦ r = jvmref, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)) |
acc .first = (st0 ∪ st)[r -- fs '] .refval, (st0 ∪ st)[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, fs ' ∈ instfields((st0 ∪ st)[r -- _type] .type .class), is_referencevalue((st0 ∪ st)[r -- fs ']), junkrefs(str, acc, fs .type, st0 ∪ st), is_obj(str, r, st), ∀ str, ty, st0, st. junkrefs(str, acc, ty, st0 ∪ st) → junkrefs(str, acc, ty, st) ⊦ r = jvmref, acc = [], ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_obj(str, r, st) → is_obj(str, r, st0 ∪ st)])]]