| ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)) ⊦ validfieldinits(str, fv + fis0, st) ↔ validfieldinits(fv + fis0, st) ∧ ¬ junkrefs(str, (fv + fis0) .vals, st) ∧ (∀ sk. sk ∈ fv + fis0 → type∃(str, sk .fs .type)) |
∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)) ⊦ validfieldinits(str, fv ' + fis0, st) ↔ validfieldinits(fv ' + fis0, st) ∧ ¬ junkrefs(str, fv .2 ' + fis0 .vals, st) ∧ (∀ sk. sk ∈ fv ' + fis0 → type∃(str, sk .fs .type))
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ (fv ' + fis) .vals = fv .2 ' + fis .vals], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]