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Proof step 11 from proof blastN-len (previous step)

n ≠ 0, # y + 1 = n0 + n, ∀ x0, n0, n. # x0 < #(y + a ') → # x0 = n0 + n → # butlastn(n, x0) = n0 ⊦ # butlastn(n -1, y) = n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
# y + 1 = n0 + n, ∀ x0, n0, n. # x0 < #(y + a ') → # x0 = n0 + n → # butlastn(n, x0) = n0 ⊦ n = 0, # butlastn(n - 1, y) = n0

Rule argument

Additional information

Used simplifier rules: pred-03: ⊦ n -1 = n - 1; from specification nat