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Proof step 3 from proof size-inf-to (previous step)

∀ nf. #(nf to n0) = n0 ⊦ #(nf to n0 + 1) = n0 + 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ nf to n + 1 = nf(0) + ((λ n. nf(n + 1)) to n)
Proof step 5:
∀ nf. #(nf to n0) = n0 ⊦ #(nf(0) + ((λ n. nf(n + 1)) to n0)) = n0 + 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] → [n0, nf] flags: rewrite, current

Additional information

Used terms: n0, nf