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Proof step 13 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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ okbytearray(r2, st) ∧ ¬ junkref(`docs2store', r, st) ∧ ¬ path∃(`docs2store', r, r1, st) → ¬ path∃(`docs2store', r, r1, st[r2 -- i ', byteval(by)])
Proof step 12:
¬ ( okbytearray(r2, putByteArray(bytes1, r2, i + 1, st)) ∧ ¬ junkref(`docs2store', r, putByteArray(bytes1, r2, i + 1, st)) ∧ ¬ path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, 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)

Rule argument

[crewrite-arg: pathex-putbyteval , F , [by, i, r2, st, r1, r] → [by, i, r2, putByteArray(bytes1, r2, i + 1, st), r1, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (by, i, r2, putByteArray(bytes1, r2, i + 1, st), r1, r)]]