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Theorem 19.21bbi 1467
Description: Inference removing double quantifier. (Contributed by NM, 20-Apr-1994.)
Hypothesis
Ref Expression
19.21bbi.1 (𝜑 → ∀𝑥𝑦𝜓)
Assertion
Ref Expression
19.21bbi (𝜑𝜓)

Proof of Theorem 19.21bbi
StepHypRef Expression
1 19.21bbi.1 . . 3 (𝜑 → ∀𝑥𝑦𝜓)
2119.21bi 1466 . 2 (𝜑 → ∀𝑦𝜓)
3219.21bi 1466 1 (𝜑𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1257
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-4 1416
This theorem is referenced by:  pocl  4068  funun  4972  fununi  4995  imain  5009
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