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Proof step 3 from proof enc-invert (previous step)

⊦ encode(maxenc(m) - m.2, m.2) = m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ m.2 = m - (maxenc(m) * (maxenc(m) + 1)) / 2
Proof step 5:
⊦ encode(maxenc(m) - (m - (maxenc(m) * (maxenc(m) + 1)) / 2), m - (maxenc(m) * (maxenc(m) + 1)) / 2) = m

Rule argument

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

Additional information

Used terms: m