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Theorem 2ax17 1758
Description: Quantification of two variables over a formula in which they do not occur. (Contributed by Alan Sare, 12-Apr-2011.)
Ref Expression
2ax17 (𝜑 → ∀𝑥𝑦𝜑)
Distinct variable groups:   𝜑,𝑥   𝜑,𝑦

Proof of Theorem 2ax17
StepHypRef Expression
1 id 19 . 2 (𝜑𝜑)
21alrimivv 1755 1 (𝜑 → ∀𝑥𝑦𝜑)
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1241
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1336  ax-gen 1338  ax-17 1419
This theorem is referenced by: (None)
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