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Theorem getbar-restn-01

⊦ n→i(n) ≤ st[r -- _length] .intval → restn(n, getbytearray(r, st)) = getbytearray(r, n→i(n), st[r -- _length] .intval - n→i(n), st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: bar-len-03, getbar-anyrec, getByteArray-all,
Used spec theorems:
- list-del/bytelist/restN-append
- list-del/bytelist/rest-empty
Used simplifier rules:
- nat/ler
- list/bytelist/a
- list/bytelist/app-05
- nat/lels-01
- nat-basic1/ref-1
- int-abs/zero-gels-04
- int-abs/sub-add
- int-basic2/ax-04
- intnat/nat2int
- int-abs/lels-01
- int-basic2/ls
- int-abs/lels-04
- int-abs/forward-le-01
- int-basic2/add-c
- int-basic2/add-a
- int-abs/lep
- int-abs/elim-sub