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Proof step 8 from proof put-app-left (previous step)

m < # x0, ∀ n, y, a. n < # x0 → (x0 + y)[n, a] = x0[n, a] + y ⊦ (x0 + y)[m, a] = x0[m, a] + y, x0 = []

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: m, y, a

Additional information

Used terms: m, y, a