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Theorem add-at-other

⊦ r ≠ r0 ∨ r = r0 ∧ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ∨ r = r0 ∧ is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# vals) ≤ sk .index) → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: addarray-addaray, addarray-identity, putarray-add-same, putarray-addarray-override, union-addarray-rew,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: add-at-ok, add-at-other-index, add-at-04, lookup-1init,
Used spec theorems:
- Used simplifier rules: