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