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Proof step 1 from proof count-entries (conclusion)

∀ str. str ∈ entries ↔ str ∈ sdt ⊦ # entries = # sdt

User applied rule induction

And obtained the following new goals

Proof step 2:
∀ str. str ∈ entries ↔ str ∈ sdt, ∀ entries0, sdt. # entries0 < # entries → (∀ str. str ∈ entries0 ↔ str ∈ sdt) → # entries0 = # sdt ⊦ # entries = # sdt

Rule argument

indvar: # entries wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # entries