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Proof step 17 from proof to-unwind-end (previous step)

⊦ (nf to m) + nf(m) ' = nf to m + 1

User applied rule structural induction

And obtained the following new goals

Proof step 18:
∀ nf. (nf to m0) + nf(m0) ' = nf to m0 + 1 ⊦ (nf to m0 +1) + nf(m0 +1) ' = nf to m0 +1 + 1

Rule argument

indvar: m

Additional information

Used simplifier rules: to-zero-nf: ⊦ nf to 0 = [];%to-inf-one: ⊦ nf to 1 = nf(0) ';%nat freely generated by 0, +1;;% ⊦ [] + x = x; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ a ' = b ' ↔ a = b; (s)