| acc = r0 + refs, r0 = st1[r -- fs '] .refval, st1[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, st ⊆ st1, fs ' ∈ instfields(st1[r -- _type] .type .class), is_referencevalue(st1[r -- fs ']), junkrefs(str, acc, fs .type, st1), is_obj(str, r, st), ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, acc = [], ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st) |
is_obj(str, r, st), st1[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, st ⊆ st1, fs ' ∈ instfields(st1[r -- _type] .type .class), is_referencevalue(st1[r -- fs ']), junkrefs(str, st1[r -- fs '] .refval ' + refs, fs .type, st1), ∀ str0, ty0, st0, st2. junkrefs(str0, st1[r -- fs '] .refval ' + refs, ty0, st0) ∧ st2 ⊆ st0 → junkrefs(str0, st1[r -- fs '] .refval ' + refs, ty0, st2) ⊦ r = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs0 ']) ∧ st1[r -- fs '] .refval = st[r -- fs0 '] .refval ∧ junkrefs(str, st1[r -- fs '] .refval ' + refs, fs0 .type, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]