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Proof step 4 from proof to-to-leq-inf (previous step)

m ≤ n0 + 1, ∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ (nf to n0 + 1) to m = nf to m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ nf to m + 1 = (nf to m) + nf(m) '
Proof step 6:
m ≤ n0 + 1, ∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ (nf to n0) + nf(n0) ' to m = nf to m

Rule argument

spec: stream inst: name: to-unwind-end-inf seq: ⊦ nf to m + 1 = (nf to m) + nf(m) ' subst: [m, nf] → [n0, nf] flags: rewrite, current

Additional information

Used terms: n0, nf