| 0 ≤ i, 0 < st[r -- _length] .intval, okval(val, ty0), is_array(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), ∀ val0, ty1, str0, ty2, st0, r0, class0, fieldvar0. okval(val0, ty1) ∧ junkrefs(str0, st[r -- i '] .refval ' + refs, ty2, st0[r0 -- mkfs(class0, ty1, fieldvar0) ', val0]) → ty1 = void_type ∨ mkfs(class0, ty1, fieldvar0) ' = _length ∨ is_referencevalue(val0) ∨ junkrefs(str0, st[r -- i '] .refval ' + refs, ty2, st0) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, is_referencevalue(val), junkrefs(str, r ' + st[r -- i '] .refval ' + refs, ty, st) |
st[r -- i '] = refval(r2), 0 ≤ i, 0 < st[r -- _length] .intval, okval(val, ty0), is_array(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, r2 ' + refs, st[r -- _type] .type .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), ∀ val0, ty1, str0, ty2, st0, r0, class0, fieldvar0. okval(val0, ty1) ∧ junkrefs(str0, r2 ' + refs, ty2, st0[r0 -- mkfs(class0, ty1, fieldvar0) ', val0]) → ty1 = void_type ∨ mkfs(class0, ty1, fieldvar0) ' = _length ∨ is_referencevalue(val0) ∨ junkrefs(str0, r2 ' + refs, ty2, st0) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, is_referencevalue(val), junkrefs(str, r ' + r2 ' + refs, ty, st)
[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- i '], r2)]]