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

m ≤ n ⊦ restn(m, mklist(a, n)) = mklist(a, n - m)

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

spec: nat inst: name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [n, m, n0] flags:

Additional information

Used simplifier rules: rest-mklist-03: ⊦ restn(m, mklist(a, n) + mklist(a, m)) = mklist(a, n);%mk-plus: ⊦ mklist(a, m + n) = mklist(a, m) + mklist(a, n); from specification list-last%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (x + y) + z = x + y + z; from specification list%mk-inj-01: ⊦ mklist(a, m) = mklist(a, n) ↔ m = n; from specification list-last%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n, m, n0