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Proof step 1 from proof lastn-mklist-02 (conclusion)

⊦ lastn(n + 1, x + b ' + mklist(a, n)) = b ' + mklist(a, n)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-del inst: name: lastN-append seq: ⊦ n = # y → lastn(n, x + y) = y subst: [y, x, n] → [b ' + mklist(a, n), x, n + 1] flags: rewrite, current

Additional information

Used simplifier rules: len-05: ⊦ #(a ' + x) = (# x)+1; from specification list%mk-len: ⊦ # mklist(a, n) = n; from specification list-last%succ: ⊦ m +1 = m + 1; from specification nat-basic2%a: ⊦ (x + y) + z = x + y + z; from specification list%eq-01: ⊦ m + n = m + n0 ↔ n = n0; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: b ' + mklist(a, n), x, n + 1