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Proof step 4 from proof to-unwind-end-inf (previous step)

∀ nf. nf to m0 + 1 = (nf to m0) + nf(m0) ' ⊦ nf(0) + ((λ n. nf(n + 1)) to m0 +1) = (nf to m0 +1) + nf(m0 +1) '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ nf. nf to m0 + 1 = (nf to m0) + nf(m0) ' ⊦ nf(0) ' + ((λ n. nf(n + 1)) to m0 + 1) = (nf to m0 + 1) + nf(m0 + 1) '

Rule argument

Additional information

Used simplifier rules: c: ⊦ a + x = a ' + x; from specification list%succ: ⊦ m +1 = m + 1; from specification nat-basic2