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Proof step 2 from proof map-at (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ n, intfun. n < # ints0 → mapFun(intfun, ints0)[n] = intfun(ints0[n]) ∨ ints0 = [], n < #(i + ints0) ⊦ mapFun(intfun, i + ints0)[n] = intfun((i + ints0)[n]), i + ints0 = []

Rule argument

indvar: ints

Additional information

Used simplifier rules: intlist freely generated by [], +;;