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Theorem bj-2alim 31613
Description: Closed form of 2alimi 1716. (Contributed by BJ, 6-May-2019.)
Assertion
Ref Expression
bj-2alim (∀𝑥𝑦(𝜑𝜓) → (∀𝑥𝑦𝜑 → ∀𝑥𝑦𝜓))

Proof of Theorem bj-2alim
StepHypRef Expression
1 alim 1714 . 2 (∀𝑦(𝜑𝜓) → (∀𝑦𝜑 → ∀𝑦𝜓))
21al2imi 1718 1 (∀𝑥𝑦(𝜑𝜓) → (∀𝑥𝑦𝜑 → ∀𝑥𝑦𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1472
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1700  ax-4 1713
This theorem is referenced by: (None)
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