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Metamath Proof Explorer

Theorem fzfid

Description: Commonly used special case of fzfi . (Contributed by Mario Carneiro, 25-May-2014)

Ref Expression
Assertion fzfid ( 𝜑 → ( 𝑀 ... 𝑁 ) ∈ Fin )

Proof

Step Hyp Ref Expression
1 fzfi ⊢ ( 𝑀 ... 𝑁 ) ∈ Fin
2 1 a1i ⊢ ( 𝜑 → ( 𝑀 ... 𝑁 ) ∈ Fin )