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Proof step 19 from proof to-unwind-end (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ nf to n + 1 = nf(0) + ((λ n. nf(n + 1)) to n)
Proof step 21:
((λ n. nf(n + 1)) to m0) + nf(m0 + 1) ' = (λ n. nf(n + 1)) to m0 + 1 ⊦ (nf to m0 +1) + nf(m0 +1) ' = nf(0) + ((λ n. nf(n + 1)) to 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