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Proof step 5 from proof get-infto (previous step)

m ≤ n0, ∀ m, nf. m < n0 → (nf to n0)[m] = nf(m) ⊦ (nf(0) + ((λ n. nf(n + 1)) to n0))[m] = nf(m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
m ≤ n0, ∀ m, nf. m < n0 → (nf to n0)[m] = nf(m) ⊦ (nf(0) ' + ((λ n. nf(n + 1)) to n0))[m] = nf(m)

Rule argument

Additional information

Used simplifier rules: c: ⊦ a + x = a ' + x; from specification list