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Theorem 19.2g 2185
Description: Theorem 19.2 of [Margaris] p. 89, generalized to use two setvar variables. Use 19.2 1981 when sufficient. (Contributed by Mel L. O'Cat, 31-Mar-2008.)
Assertion
Ref Expression
19.2g (∀𝑥𝜑 → ∃𝑦𝜑)

Proof of Theorem 19.2g
StepHypRef Expression
1 19.8a 2178 . 2 (𝜑 → ∃𝑦𝜑)
21sps 2182 1 (∀𝑥𝜑 → ∃𝑦𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1536  wex 1781
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1911  ax-6 1970  ax-7 2015  ax-12 2175
This theorem depends on definitions:  df-bi 210  df-ex 1782
This theorem is referenced by: (None)
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