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Proof step 3 from proof potmonleq (previous step)

n < m, 2^ m ≤ 2^ n ⊦ n = m

User applied rule cut formula

And obtained the following new goals

Proof step 4:
n < m, 2^ n < 2^ m, 2^ m ≤ 2^ n ⊦ n = m

Rule argument

fma: 2^ n < 2^ m

Additional information

Used simplifier rules: potmon: ⊦ 2^ m < 2^ n ↔ m < n;% ⊦ m ≠ n → (m < n ↔ ¬ n < m); (ss)% ⊦ m < n → ¬ n < m; (s) Used formulas: 2^ n < 2^ m