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Theorem in-1dim-other

⊦ r ≠ r0 ∨ r = r0 ∧ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ∨ r = r0 ∧ is_indexkey(sk) ∧ (sk .index < 0 ∨ j ≤ sk .index) → (r0 -- sk ∈ addarray(r, ty, j, st) ↔ r0 -- sk ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: addarray-addaray, addarray-put-01, putarray-add-same, putarray-addarray-01,
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: in-1dim-16, in-1dim-other-index, in-1dim-fskey, in-1dim-05, in-1dim-01, in-1dim-14,
Used spec theorems:
- Used simplifier rules: