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Proof step 75 from proof validrefs-putbar-01 (previous step)

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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 74:
¬ (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)

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [putByteArray(bytes, r, i, st), ty, refs0, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (putByteArray(bytes, r, i, st), ty, refs0, r0, str)]]