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Proof step 29 from proof arr2list-put (previous step)

n < # ar, n ≤ m, m < # ar ⊦ (arr2list(ar, m)[n, bv]) = arr2list(ar[n, bv], m)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
n < # ar, n ≤ 0, 0 < # ar ⊦ (arr2list(ar, 0)[n, bv]) = arr2list(ar[n, bv], 0)
Proof step 28:
∀ 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)

Rule argument

[VARWITHVARSEQSARG : m, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;])]]