| ¬ (is_fskey((sk0 × val) .1) ∧ (sk0 × val) .1 .fs .class ≠ class1), is_fskey(sk0), r ∈ st, r -- sk ∈ addclass(class1, (sk0 × val) ' + fis0, st), ∀ r, sk, class1, st. r -- sk ∈ addclass(class1, fis0, st) ∧ r ∈ st → r = jvmref ∨ r -- sk ∈ st ⊦ r = jvmref, r -- sk ∈ st |
⊦ r ∈ st → r ∈ addclass(class1, fis, st)
is_fskey(sk0), r ∈ st, r -- sk ∈ addclass(sk0 .fs .class, (sk0 × val) ' + fis0, st), ∀ r, sk, class1, st. r -- sk ∈ addclass(class1, fis0, st) ∧ r ∈ st → r = jvmref ∨ r -- sk ∈ st ⊦ r = jvmref, r -- sk ∈ st
[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ (sk × val) .1 = sk])]]