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Proof step 28 from proof arr2list-put (previous step)

∀ n, ar, bv. n < # ar ∧ n ≤ m0 ∧ m0 < # ar → (arr2list(ar, m0)[n, bv]) = arr2list(ar[n, bv], m0), n < # ar, n ≤ m0 +1, m0 +1 < # ar ⊦ (arr2list(ar, m0 +1)[n, bv]) = arr2list(ar[n, bv], m0 +1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ n + 1 < # ar → arr2list(ar, n + 1) = arr2list(ar, n) + ar[n + 1] '
Proof step 27:
n < # ar, n ≤ m0 + 1, m0 + 1 < # ar, ∀ n, ar, bv. n < # ar ∧ n ≤ m0 ∧ m0 < # ar → (arr2list(ar, m0)[n, bv]) = arr2list(ar[n, bv], m0) ⊦ (arr2list(ar, m0) + ar[m0 + 1] ')[n, bv] = arr2list(ar[n, bv], m0 + 1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m +1 = m + 1])]]