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Proof step 6 from proof mklist-rmdup-01 (previous step)

n0 + 1 ≠ 0, ∀ a. rmdup(mklist(a, n0)) = a ' ⊦ rmdup(mklist(a, (n0 + 1)-1) + a ') = a ', n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
∀ a. rmdup(mklist(a, n0)) = a ' ⊦ n0 = 0, rmdup(a ' + mklist(a, n0)) = a '

Rule argument

Additional information

Used simplifier rules: mk-last: ⊦ mklist(a, n) + a ' = a ' + mklist(a, n);%oz: ⊦ m + 1 ≠ 0; from specification nat-basic2%a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%pred: ⊦ (m + 1)-1 = m; from specification nat-basic2