| okval(st[r -- mkfs(class, ty, fieldvar) '], ty), r ∈ st, okval(val, ty), r -- mkfs(class, ty, fieldvar) ' ∈ st, r -- mkfs(class0, ty0, fieldvar0) ' ∈ st, fieldvar0 ≠ fieldvar ∨ ty0 ≠ ty ∨ class0 ≠ class, class0 ≠ class ∨ ty0 ≠ ty ∨ fieldvar0 ≠ fieldvar ⊦ mkfs(class, ty, fieldvar) ' = _type, okval(st[r -- mkfs(class, ty, fieldvar) ', val][r -- mkfs(class0, ty0, fieldvar0) '], ty0) ↔ okval(st[r -- mkfs(class0, ty0, fieldvar0) '], ty0) |
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRATERMS : (r -- mkfs(class0, ty0, fieldvar0) ', val, r -- mkfs(class, ty, fieldvar) ', st)]]