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Proof step 2 from proof lastN-blastN (previous step)

n ≤ # x ⊦ butlastn(n, x) + lastn(n, x) = x

User applied rule induction

And obtained the following new goals

Proof step 3:
n ≤ # x, ∀ x0, n. # x0 < # x → n ≤ # x0 → butlastn(n, x0) + lastn(n, x0) = x0 ⊦ butlastn(n, x) + lastn(n, x) = x

Rule argument

indvar: # x wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # x