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Proof step 1 from proof dec-int-01 (conclusion)

⊦ encode(decode(i)) = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i < 0 → decode(i) = 2 * i→n(i) - 1
Proof step 3:
⊦ encode(decode(i)) = i, i < 0
Proof step 6:
i < 0 ⊦ encode(2 * i→n(i) - 1) = i

Rule argument

spec: <toplevel> name: dec-nat-neg seq: ⊦ i < 0 → decode(i) = 2 * i→n(i) - 1 subst: [i] → [i] flags: <all paths>

Additional information

Used terms: i