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Proof step 14 from proof addarray-mklist-02 (conclusion)

⊦ addarray(r, mklist(val, n), 0, st) = addarray(r, val, n→i(n), st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ addarray(r, [], i, st) = st
Proof step 2:
⊦ addarray(r, val, 0, st) = st
Proof step 13:
∀ r, val, st. addarray(r, mklist(val, m), 0, st) = addarray(r, val, n→i(m), st) ⊦ addarray(r, mklist(val, m +1), 0, st) = addarray(r, val, n→i(m +1), st)

Rule argument

[VARWITHVARSEQSARG : n, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;], [CSIMPSEQ : ⊦ mklist(val, 0) = []])]]