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Proof step 5 from proof elim-lastn-butlastn (previous step)

⊦ z = lastn(# z, y + z)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: lastn-restn-01 seq: n ≤ # x ⊦ lastn(n, x) = restn(# x - n, x) subst: [x, n] → [y + z, # z] flags: rewrite, current

Additional information

Used simplifier rules: restN-len: ⊦ restn(# x, x + y) = y;%len: ⊦ #(x + y) = # x + # y; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list%eq-01: ⊦ m + n - m = n; from specification nat%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat%l-02: ⊦ ¬ m + n < m; from specification nat-basic2 Used terms: y + z, # z