| validrefs(str, r ' + acc, ty, st), validrefs(str, (r ' + acc) .last ' + refs1, ty0, st), ∀ str, ty, st, refs1, ty0. validrefs(str, acc, ty, st) ∧ validrefs(str, acc .last ' + refs1, ty0, st) → acc = [] ∨ validrefs(str, acc + refs1, ty, st) ⊦ acc = [], validrefs(str, (r ' + acc) + refs1, ty, st) |
validrefs(str, r ' + acc, ty, st), validrefs(str, acc .last ' + refs1, ty0, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, acc, ty1, st0) ∧ validrefs(str0, acc .last ' + refs, ty2, st0) → validrefs(str0, acc + refs, ty1, st0) ⊦ acc = [], validrefs(str, (r ' + acc) + refs1, ty, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ refs ≠ [] → (r ' + refs) .last = refs .last])]]