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Proof step 30 from proof split-unique (previous step)

(2 ^ #fz(m0) * 2) * lead(m0) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < m0 + m0 + 1 → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ m = 2 * m0 + 1

User applied rule cut formula

And obtained the following new goals

Proof step 22:
even(m), (2 ^ #fz(m0) * 2) * lead(m0) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < m0 + m0 + 1 → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ m = 2 * m0 + 1
Proof step 29:
(2 ^ #fz(m0) * 2) * lead(m0) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < m0 + m0 + 1 → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ even(m), m = 2 * m0 + 1

Rule argument

[fma-arg: even(m)]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (even(m))]]