| ¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, putByteArray(bytes, r, i, st)) ∨ ¬ (putByteArray(bytes, r, i, st)[r0 -- _type]) .type ≤ ty)), validrefs(str, r0 ' + refs0, ty, putByteArray(bytes, r, i, st)), okbytearray(r, st), ∀ i, bytes, ty, r0, str, st, r, refs. # refs < # refs0 → (okbytearray(r, st) ∧ validrefs(str, r0 ' + refs, ty, putByteArray(bytes, r, i, st)) → junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, ty, st)) ⊦ validrefs(str, r0 ' + refs0, ty, st), junkref(str, r0, st) |
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
validrefs(str, r0 ' + refs0, ty, putByteArray(bytes, r, i, st)), okbytearray(r, st), is_valid_ref(str, r0, putByteArray(bytes, r, i, st)), st[r0 -- _type] .type ≤ ty, ∀ i, bytes, ty, r0, str, st, r, refs. # refs < # refs0 → (okbytearray(r, st) ∧ validrefs(str, r0 ' + refs, ty, putByteArray(bytes, r, i, st)) → junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, ty, st)) ⊦ r0 = jvmref, validrefs(str, r0 ' + refs0, ty, st), junkref(str, r0, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ junkref(str, jvmref, st)], [CSIMPSEQ : ⊦ (putByteArray(bytes, r, i, st) [r0 -- _type ] ) = st[r0 -- _type]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]