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Theorem at-fill-h

⊦ n < # ar → fill(ar, a, m0, m1)[n] = (m0 ≤ n ∧ n < m0 + m1 ⊃ a;ar[n])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: at-fill-mkarray, at-fill-other, cmp-fill, idexcept-n-fill-other,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 13
Used lemmas: size-fill-h, Fill-succ, Fill-zero,
Used spec theorems:
- array/Put-other
Used simplifier rules: