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Theorem pm11.7 37618
Description: Theorem *11.7 in [WhiteheadRussell] p. 166. (Contributed by Andrew Salmon, 24-May-2011.)
Assertion
Ref Expression
pm11.7 (∃𝑥𝑦(𝜑𝜑) ↔ ∃𝑥𝑦𝜑)

Proof of Theorem pm11.7
StepHypRef Expression
1 oridm 535 . 2 ((𝜑𝜑) ↔ 𝜑)
212exbii 1765 1 (∃𝑥𝑦(𝜑𝜑) ↔ ∃𝑥𝑦𝜑)
Colors of variables: wff setvar class
Syntax hints:  wb 195  wo 382  wex 1695
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-4 1728
This theorem depends on definitions:  df-bi 196  df-or 384  df-ex 1696
This theorem is referenced by: (None)
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