| st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), r2 = st[r2 -- fs '] .refval, is_referencevalue(st[r2 -- fs ']), fs ' ∈ instfields(class), is_obj(str, r1, st1), is_obj(str, r2, st), validrefs(str, r2 ', fs .type, st), maxpath(str, r1, st1) ≤ maxpath(str, jvmref, st1), ps=(r2, st, jvmref, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r2 -- fs ']) → st[r2 -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r1 = jvmref, r2 = jvmref, st1[r1 -- fs '] = refval(jvmref), junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), is_referencevalue(st1[r1 -- fs ']) |
⊦ ¬ is_referencevalue(st[r -- fs ']) ∧ is_reftype(fs .type) ∧ fs ' ∈ instfields(class) ∧ st[r -- _type] .type = mkclasstype(class) → ¬ is_obj(str, r, st)
¬ (¬ is_referencevalue(st1[r1 -- fs ']) ∧ is_reftype(fs .type) ∧ fs ' ∈ instfields(class) ∧ st1[r1 -- _type] .type = mkclasstype(class)), st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), r2 = st[r2 -- fs '] .refval, is_referencevalue(st[r2 -- fs ']), fs ' ∈ instfields(class), is_obj(str, r1, st1), is_obj(str, r2, st), validrefs(str, r2 ', fs .type, st), maxpath(str, r1, st1) ≤ maxpath(str, jvmref, st1), ps=(r2, st, jvmref, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r2 -- fs ']) → st[r2 -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r1 = jvmref, r2 = jvmref, st1[r1 -- fs '] = refval(jvmref), junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), is_referencevalue(st1[r1 -- fs '])
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, r1, fs, class, str)]]