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Proof step 2 from proof rest-mklist-04 (previous step)

∀ a. restn(m0, mklist(a, m0)) = [] ⊦ restn(m0 +1, mklist(a, m0 +1)) = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a. restn(m0, mklist(a, m0)) = [] ⊦ restn(m0, mklist(a, m0)) = []

Rule argument

Additional information

Used simplifier rules: restN-rec: ⊦ restn(n + 1, x) = restn(n, x.rest);%c-07: ⊦ (a ' + x).rest = x; from specification list%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%a: ⊦ (x + y) + z = x + y + z; from specification list%mk-last: ⊦ mklist(a, n) + a ' = a ' + mklist(a, n); from specification list-last%mklist-one: ⊦ mklist(a, 1) = a '; from specification list-last%mk-plus: ⊦ mklist(a, m + n) = mklist(a, m) + mklist(a, n); from specification list-last%succ: ⊦ m +1 = m + 1; from specification nat-basic2