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