| ¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st -- r) ∨ ¬ (st -- r)[r0 -- _type] .type ≤ ty)), junkrefs(str, r0 ' + acc, ty, st), ∀ str, ty, st, r. junkrefs(str, acc, ty, st) → junkrefs(str, acc, ty, st -- r) ⊦ r = r0, junkrefs(str, r0 ' + acc, ty, st -- r) |
⊦ ¬ junkrefs(str, jvmref ' + refs, ty, st)
junkrefs(str, r0 ' + acc, ty, st), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r. junkrefs(str, acc, ty, st) → junkrefs(str, acc, ty, st -- r) ⊦ r = r0, r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st -- r)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_valid_ref(str, r, st -- r0) ↔ is_valid_ref(str, r, st))])]]