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Theorem append-at

⊦ n < # ar0 + # ar1 → (ar0 + ar1)[n] = (n < # ar0 ⊃ ar0[n];ar1[n - # ar0])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: copy-shift-right, fill-append-shift, mkemparray-append, subarray-append-shift-left, subarray-append-shift-right, subarray-split-size,
Used by units in proved state: eraseblock, buffer,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: append-at2, append-a, append-at1,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - nat/lels
  - nat-basic/a
  - nat-basic/c