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Proof step 3 from proof mklist-rmdup-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
∀ a. rmdup(mklist(a, n0)) = a ' ⊦ rmdup(mklist(a, n0 + 1)) = a ', n0 = 0

Rule argument

Additional information

Used simplifier rules: mklist-one: ⊦ mklist(a, 1) = a ';%c-04: ⊦ a ' = b ' ↔ a = b; from specification list%rm-one: ⊦ rmdup(a ') = a '; from specification list-dup%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%oz: ⊦ m + 1 ≠ 0; from specification nat-basic2%succ: ⊦ m +1 = m + 1; from specification nat-basic2