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Proof step 6 from proof pathex-putbar-03 (previous step)

path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, st)), okbytearray(r2, st), path∃(`docs2store', r, r1, putByteArray(bytes1, r2, i + 1, st)[r2 -- i ', byteval(by)]), ∀ 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, putByteArray(bytes1, r2, i + 1, putByteArray(bytes1, r2, i + 1, st))), junkref(`docs2store', r, putByteArray(bytes1, r2, i + 1, st)), path∃(`docs2store', r, r1, st), junkref(`docs2store', r, st)

User applied rule apply induction

And closed the goal!

Rule argument

[substlist-arg: [st, i, r2, r1, r, bytes0] → [st, i + 1, r2, r1, r, bytes1] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ by + bytes = by ' + bytes], [CSIMPSEQ : ⊦ # (bytes + bytes0) = # bytes + # bytes0], [CSIMPSEQ : ⊦ # by ' = 0 +1], [CSIMPSEQ : ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1], [CSIMPSEQ : ⊦ m < n + 1 ↔ ¬ n < m], [CSIMPSEQ : ⊦ ¬ n < n], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m])], [EXTRATERMS : (st, i + 1, r2, r1, r, bytes1)]]