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Proof step 6 from proof dec-nat (previous step)

n % 2 ≠ 0 ⊦ decode(~ n→i((n + 1) / 2)) = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ decode(~ n→i((n + 1) / 2)) = n, n % 2 = 0

Rule argument

Additional information