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Proof step 12 from proof split-ok (previous step)

∀ n0. n0 < n → (true → n0 + 1 = lead(n0) * 2 ^ #fz(n0)) ⊦ n + 1 = lead(n) * 2 ^ #fz(n)

User applied rule cut formula

And obtained the following new goals

Proof step 4:
even(n), ∀ n0. n0 < n → (true → n0 + 1 = lead(n0) * 2 ^ #fz(n0)) ⊦ n + 1 = lead(n) * 2 ^ #fz(n)
Proof step 11:
∀ n0. n0 < n → (true → n0 + 1 = lead(n0) * 2 ^ #fz(n0)) ⊦ even(n), n + 1 = lead(n) * 2 ^ #fz(n)

Rule argument

[fma-arg: even(n)]

Additional information

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