| ¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ junkrefs(str, r ' + refs0, ty, st) |
⊦ unchanged(str, jvmref, st, st0)
junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]