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Proof step 2 from proof to-unwind-end-inf (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ nf to n + 1 = nf(0) + ((λ n. nf(n + 1)) to n)
Proof step 4:
∀ 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

spec: stream inst: name: to-succ-nf seq: ⊦ nf to n + 1 = nf(0) + ((λ n. nf(n + 1)) to n) subst: [n, nf] → [m0 +1, nf] flags: rewrite, current

Additional information

Used terms: m0 +1, nf