| ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref, validrefs(str, r0 + acc, ty, st), r ∈ r0 + acc, newref(r, st) ⊦ r = jvmref |
newref(r, st), validrefs(str, r0 ' + acc, ty, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref ⊦ r = jvmref, r ≠ r0 ∧ ¬ r ∈ acc
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ∈ r0 ' ↔ r = r0], [CSIMPSEQ : ⊦ r ∈ refs + refs0 ↔ ¬ ¬ (r ∈ refs ∨ r ∈ refs0)], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]