| ¬ (unchanged(str, r, st, st1) ∧ is_valid_ref(str, r, st) ∧ r ≠ jvmref), unchanged(str, r, st, st1), junkrefs(str, r ' + refs0, st1[r -- _type] .type, st1), junkrefs(str, r ' + refs0, st1[r -- _type] .type, st) ⊦ junkrefs(str, r ' + refs0, st[r -- _type] .type, st) |
unchanged(str, r, st, st1), junkrefs(str, r ' + refs0, st1[r -- _type] .type, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, st[r -- _type] .type, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ st1[r -- _type] .type
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ junkrefs (str, r ' + refs, st[r -- _type] .type, st) ∧ r ≠ jvmref → ( junkrefs (str, r ' + refs, ty, st) ↔ ¬ st[r -- _type] .type ≤ ty)], [CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]