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Proof step 9 from proof addarray-mklist-02 (previous step)

m + 1 ≠ 0, ∀ r, val, st. addarray(r, mklist(val, m), 0, st) = addarray(r, val, n→i(m), st) ⊦ addarray(r, mklist(val, (m + 1) -1) + val ', 0, st) = (addarray(r, val, n→i(m), st)[r -- n→i(m) ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
∀ r, val, st. addarray(r, mklist(val, m), 0, st) = addarray(r, val, n→i(m), st) ⊦ addarray(r, mklist(val, m) + val ', 0, st) = (addarray(r, val, n→i(m), st)[r -- n→i(m) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + 1 ≠ 0], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ (m + 1) -1 = m])]]