| sk ∈ fis0, okval(val, ty), validfieldinits(fis0, st), is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty, ¬ is_referencevalue(val) ∨ ¬ junkref(str, val .refval, st), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), ∀ sk. sk = mkfs(class, ty, fieldvar) ' ∨ sk ∈ fis0 → type∃(str, sk .fs .type) ⊦ validfieldinits(str, fis0, st), type∃(str, sk .fs .type), junkrefs(str, fis0 .vals, st) |
sk .fs = mkfs(class0, ty0, fieldvar0), sk ∈ fis0, okval(val, ty), validfieldinits(fis0, st), is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty, ¬ is_referencevalue(val) ∨ ¬ junkref(str, val .refval, st), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), ∀ sk. sk = mkfs(class, ty, fieldvar) ' ∨ sk ∈ fis0 → type∃(str, sk .fs .type) ⊦ validfieldinits(str, fis0, st), type∃(str, ty0), junkrefs(str, fis0 .vals, st)
[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class0, ty0, fieldvar0)]]