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Proof step 18 from proof to-to-leq-inf (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ nf to m + 1 = (nf to m) + nf(m) '
Proof step 20:
∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ ((nf to n0) to n0) + nf(n0) ' = (nf to n0) + nf(n0) '

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