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Proof step 1 from proof map-at (conclusion)

⊦ n < # ints → mapFun(intfun, ints)[n] = intfun(ints[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
n < # ints ⊦ mapFun(intfun, ints)[n] = intfun(ints[n]), ints = []

Rule argument

Additional information

Used simplifier rules: l: ⊦ # ints = 0 ↔ ints = []; from specification list-data[intlista]%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1