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Theorem getbar-add-01

⊦ r ≠ r0 → getbytearray(r, i, j, addarray(r0, ty, vals, st)) = getbytearray(r, i, j, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 12
Used lemmas: lookup-1init,
Used spec theorems:
- storearrays/bar-empty
- storearrays/getbar-rec
Used simplifier rules:
- intnat/rax-04
- nat-basic2/s
- intnat/labs
- int-abs/absle
- oelem/intlista/irreflexivity
- nat-basic2/a
- nat-basic2/c
- int-abs/zero-gels-04
- list/bytelist/a
- list/bytelist/app-01
- int-basic2/ax-04
- int-abs/numsub
- int-abs/lels-01
- int-abs/lels-04
- int-abs/forward-le-01
- int-basic2/add-c
- int-basic2/add-a
- int-abs/mone-06
- int-abs/numls-02
- int-abs/elim-sub
- int-abs/forward-le-05
- list/bytelist/c
- storearrays/bar-empty
- int-abs/anti
- storearrays/bar-empty-01
- int-abs/forward-le-04
- int-abs/lels