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Theorem at-copy

⊦ m0 < # ar1 → copy(ar0, n, ar1, n0, m)[m0] = (m0 < n0 ∨ n0 + m ≤ m0 ⊃ ar1[m0];ar0[m0 + n - n0])

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: at-subarray, copy-append, copy-coalesce, copy-exact, copy-is-subarray, copy-other-weak, copy-rec, copy-self, copy-subarray1-elim, copy-subarray2, subarray-at, subarray-copy, subarray-copy-elim, subarray-copy-higher, subarray-copy-lower, subarray-subarray-elim, subarray-up-same, subarray-write-below,
Used by units in proved state: array-list,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 13
Used lemmas: size-copy, Copy-succ, Copy-zero,
Used spec theorems:
- Used simplifier rules: