| n = m0 + 1, n < # ar, n ≤ m0 + 1, m0 + 1 < # ar, ∀ n, ar. n < # ar ∧ n ≤ m0 ∧ m0 < # ar → (arr2list(ar, m0)[n] ↔ ar[n]) ⊦ (arr2list(ar, m0) + ar[m0 + 1] ')[n] ↔ ar[n] |
m0 + 1 < # ar, ∀ n, ar. n < # ar ∧ n ≤ m0 ∧ m0 < # ar → (arr2list(ar, m0)[n] ↔ ar[n]) ⊦ (arr2list(ar, m0) + ar[m0 + 1] ')[m0 + 1] ↔ ar[m0 + 1]
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n ≤ m + n0 ↔ n ≤ n0], [CSIMPSEQ : ⊦ m + n = n + m])]]