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Proof step 12 from proof finz-bounded-05 (previous step)

n * 2^ n0 ≤ m, m + 1 < 2^ n0 * n + 2^ n0, n0 ≤ #fz(m), ∀ m1, n0, n. m1 < m → (n0 ≤ #fz(m1) ∧ m1 + 1 < 2^ n0 * n + 2^ n0 ∧ n * 2^ n0 ≤ m1 → false) ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 3:
even(m), n * 2^ n0 ≤ m, m + 1 < 2^ n0 * n + 2^ n0, n0 ≤ #fz(m), ∀ m1, n0, n. m1 < m → (n0 ≤ #fz(m1) ∧ m1 + 1 < 2^ n0 * n + 2^ n0 ∧ n * 2^ n0 ≤ m1 → false) ⊦
Proof step 11:
n * 2^ n0 ≤ m, m + 1 < 2^ n0 * n + 2^ n0, n0 ≤ #fz(m), ∀ m1, n0, n. m1 < m → (n0 ≤ #fz(m1) ∧ m1 + 1 < 2^ n0 * n + 2^ n0 ∧ n * 2^ n0 ≤ m1 → false) ⊦ even(m)

Rule argument

[fma-arg: even(m)]

Additional information

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