| ¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty0)), level⊆(str, str0), validrefs(str, r ' + acc, ty0, st), ∀ str, ty0, st, str0. validrefs(str, acc, ty0, st) ∧ level⊆(str, str0) → validrefs(str0, acc, ty0, st) ⊦ validrefs(str0, r ' + acc, ty0, st) |
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
level⊆(str, str0), validrefs(str, r ' + acc, ty0, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty0, ∀ str, ty0, st, str0. validrefs(str, acc, ty0, st) ∧ level⊆(str, str0) → validrefs(str0, acc, ty0, st) ⊦ r = jvmref, validrefs(str0, r ' + acc, ty0, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]