| ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r1 = st[r0 -- fs '] .refval ∧ junkrefs(str, acc + r ' + refs0, fs .type, st), acc + r ' = r1 ' + refs, is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r1 = st[r0 -- fs '] .refval ∧ junkrefs(str, st[r0 -- fs '] .refval ' + refs, fs .type, st), r0 = jvmref, r ∈ st, ¬ r1 ∈ acc ∧ r1 ≠ r, r ≠ r1 ∧ ¬ r ∈ refs |
acc + r ' = st[r0 -- fs '] .refval ' + refs, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), junkrefs(str, acc + r ' + refs0, fs .type, st), is_referencevalue(st[r0 -- fs ']), fs ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ r0 = jvmref, r ∈ st, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st), r ≠ st[r0 -- fs '] .refval ∧ ¬ r ∈ refs, ¬ st[r0 -- fs '] .refval ∈ acc ∧ st[r0 -- fs '] .refval ≠ r
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ∈ r0 ' ↔ r = r0], [CSIMPSEQ : ⊦ r ∈ refs + refs0 ↔ ¬ ¬ (r ∈ refs ∨ r ∈ refs0)], [CSIMPFORWARD : ⊦ r ' + refs = refs0 → r ∈ refs0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPFORWARD : ⊦ refs + r ' = refs0 → r ∈ refs0])]]