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Proof step 3 from proof ex-minimal-new-fd (previous step)

⊦ n ∈ ofh, ∃ fd. ¬ fd ∈ ofh ∧ (∀ m. ¬ m ∈ ofh → fd ≤ m)

User applied rule induction

And obtained the following new goals

Proof step 4:
∀ n0, ofh. n0 < n → true → n0 ∈ ofh ∨ (∃ fd. ¬ fd ∈ ofh ∧ (∀ m. ¬ m ∈ ofh → fd ≤ m)) ⊦ n ∈ ofh, ∃ fd. ¬ fd ∈ ofh ∧ (∀ m. ¬ m ∈ ofh → fd ≤ m)

Rule argument

indvar: n wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: n