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Proof step 34 from proof split-unique (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 15:
even(n), lead(n) * 2 ^ #fz(n) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < n → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ m = n
Proof step 33:
lead(n) * 2 ^ #fz(n) = lead(m) * 2 ^ #fz(m), ∀ n0, m. n0 < n → (lead(n0) * 2 ^ #fz(n0) = lead(m) * 2 ^ #fz(m) → m = n0) ⊦ even(n), m = n

Rule argument

[fma-arg: even(n)]

Additional information

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