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Theorem append-at2

⊦ # ar0 ≤ n ∧ n < # ar0 + # ar1 → (ar0 + ar1)[n] = ar1[n - # ar0]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: append-a, append-at, append-left-size0, copy-shift-right, copy2append, copy2append0, fill-append-shift, fill2append, subarray-append-consec, subarray-split-at, subarray-split-first,
Used by units in proved state: datasize,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: append-atp2,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/l-01
  - nat/fle-01
  - nat-basic/f
  - nat/lels
  - nat/lep
  - nat-basic/a
  - nat-basic/c
  - nat-basic/l
  - nat/le-ls-simp
  - nat/elim-sub