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Proof step 3 from proof add (previous step)

∀ m, n. m ^ (n + n1) = m ^ n * m ^ n1 ⊦ m ^ (n + n1 + 1) = m ^ n * m ^ (n1 + 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ m + n = n + m
Proof step 5:
∀ m, n. m ^ (n + n1) = m ^ n * m ^ n1 ⊦ m ^ ((n1 + 1) + n) = m ^ n * m ^ (n1 + 1)

Rule argument

spec: nat-basic2 inst: name: c seq: ⊦ m + n = n + m subst: [n, m] → [n1 + 1, n] flags: rewrite

Additional information

Used terms: n1 + 1, n