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