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Proof step 11 from proof pathex-putbar-03 (previous step)

path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, st)[r2 -- i ', byteval(by)]), okbytearray(r2, st), ∀ st, i, r2, r1, r, bytes0. # bytes0 < # (by + bytes1) → (path∃(`docs2store', r, r1, putByteArray(bytes0, r2, i, st)) ∧ okbytearray(r2, st) → junkref(`docs2store', r, st) ∨ path∃(`docs2store', r, r1, st)) ⊦ junkref(`docs2store', r, st), path∃(`docs2store', r, r1, st), junkref(`docs2store', r, putByteArray(bytes1, r2, i + 1, st)), ¬ path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, st)) ∧ okbytearray(r2, putByteArray(bytes1, r2, i + 1, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ okbytearray(r, st) → okbytearray(r, putByteArray(bytes, r, i, st))
Proof step 10:
okbytearray(r2, st), path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, st)[r2 -- i ', byteval(by)]), okbytearray(r2, st), ∀ st, i, r2, r1, r, bytes0. # bytes0 < # (by + bytes1) → (path∃(`docs2store', r, r1, putByteArray(bytes0, r2, i, st)) ∧ okbytearray(r2, st) → junkref(`docs2store', r, st) ∨ path∃(`docs2store', r, r1, st)) ⊦ junkref(`docs2store', r, st), path∃(`docs2store', r, r1, st), junkref(`docs2store', r, putByteArray(bytes1, r2, i + 1, st)), ¬ path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, st)) ∧ true

Rule argument

[speclemmaarg: ,okbytearray(r, st) → okbytearray(r, putByteArray(bytes, r, i, st)) ,[st, i, bytes, r] → [st, i + 1, bytes1, r2] ,F ,okfuns , ,okbar-putbar-same ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, i + 1, bytes1, r2)]]