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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: mk-succ: ⊦ mklist(a, n + 1) = a ' + mklist(a, n);%app-01: ⊦ x + y = x + z ↔ y = z; from specification list%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%succ: ⊦ m +1 = m + 1; from specification nat-basic2