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Theorem getintarray-at

⊦ n < # getintarray(r, i, j, st) → (getintarray(r, i, j, st)[n]) = st[r -- (i + n→i(n)) '] .intval

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
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: 8
Used lemmas: get-get, get-length, getintarray, getintarray-empty-02,
Used spec theorems:
- valuesfuns/intvalues-at
- intnat/num-i2n-ls-02
Used simplifier rules:
- int-basic1/ls-01
- nat-basic1/z
- intnat/num-n2i-ls-02
- int-abs/forward-le
- int-abs/lels
- int-basic2/add-c
- nat/lels
- nat/ls-le-simp
- intnat/abs-zero
- valuesfuns/intvalues-len
- int-abs/forward-le-05
- int-abs/lels-01
- list-data/intlista/l
- nat-basic1/f