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Proof step 8 from proof dec-int (previous step)

2 * i→n(i) = m + 1, i < 0 ⊦ decode(m) = i, i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ n % 2 ≠ 0 → decode(n) = ~ n→i((n + 1) / 2)
Proof step 10:
m % 2 = 0, 2 * i→n(i) = m + 1, i < 0 ⊦ decode(m) = i, i = 0
Proof step 13:
2 * i→n(i) = m + 1, i < 0 ⊦ m % 2 = 0, i = 0, ~ n→i((m + 1) / 2) = i

Rule argument

spec: <toplevel> name: dec-int-neg seq: ⊦ n % 2 ≠ 0 → decode(n) = ~ n→i((n + 1) / 2) subst: [n] → [m] flags: <all paths>

Additional information

Used terms: m