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Proof step 18 from proof refine-add (previous step)

xs1 + prefixn(1, ys) = prefixn(# xs1, xs0) + prefixn(1, dropn(# xs1, xs0)), # xs1 + 1 = # xs1 + 1, # xs1 ≤ # xs0, # xs1 + # ys ≤ # xs0, ys = [] ∨ # ys = # xs1 + 1 ⊦ xs1 = prefixn(# xs1, xs0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
xs1 + prefixn(1, ys) = prefixn(# xs1, xs0) + prefixn(1, dropn(# xs1, xs0)), # xs1 + # ys ≤ # xs0, # xs1 ≤ # xs0, ys = [] ∨ # ys = # xs1 + 1 ⊦ xs1 = prefixn(# xs1, xs0)

Proof step 18 from proof refine-add (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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