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Proof step 1 from proof snd-def (conclusion)

⊦ encode(m, n).2 = n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ m.2 = m - (maxenc(m) * (maxenc(m) + 1)) / 2
Proof step 3:
⊦ encode(m, n) - (maxenc(encode(m, n)) * (maxenc(encode(m, n)) + 1)) / 2 = n

Rule argument

spec: nat-pair inst: name: dec-snd seq: ⊦ m.2 = m - (maxenc(m) * (maxenc(m) + 1)) / 2 subst: [m] → [encode(m, n)] flags: rewrite, current

Additional information

Used terms: encode(m, n)