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Proof step 2 from proof mk-plus (previous step)

∀ a, m. mklist(a, m + n0) = mklist(a, m) + mklist(a, n0) ⊦ mklist(a, m + n0 +1) = mklist(a, m) + mklist(a, n0 +1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a, m. mklist(a, m + n0) = mklist(a, m) + mklist(a, n0) ⊦ mklist(a, m + n0) = mklist(a, m) + mklist(a, n0)

Rule argument

Additional information

Used simplifier rules: mk-succ: ⊦ mklist(a, n + 1) = a ' + mklist(a, n);%mk-last: ⊦ mklist(a, n) + a ' = a ' + mklist(a, n);% ⊦ x + y = x + z ↔ y = z; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m +1 = m + 1; (s)