| st ⊆ st0, validrefs(str, r0 ' + acc, ty, st0), ∀ str0, ty0, st1, st2. validrefs(str0, acc, ty0, st1) ∧ st2 ⊆ st1 ∧ ¬ junkref(str0, acc .first, st2) ∧ acc ≠ [] → validrefs(str0, acc, ty0, st2) ⊦ validrefs(str, r0 ' + acc, ty, st), junkref(str, r0, st) |
⊦ r = jvmref → (validrefs(str, r ' + refs, ty, st) ↔ refs = [])
r0 ≠ jvmref, st ⊆ st0, validrefs(str, r0 ' + acc, ty, st0), ∀ str0, ty0, st1, st2. validrefs(str0, acc, ty0, st1) ∧ st2 ⊆ st1 ∧ ¬ junkref(str0, acc .first, st2) ∧ acc ≠ [] → validrefs(str0, acc, ty0, st2) ⊦ validrefs(str, r0 ' + acc, ty, st), junkref(str, r0, st)
⊦ validrefs(str, jvmref ', ty, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (st0, ty, acc, r0, str)]]