Metamath Proof Explorer


Theorem pm11.7

Description: Theorem *11.7 in WhiteheadRussell p. 166. (Contributed by Andrew Salmon, 24-May-2011)

Ref Expression
Assertion pm11.7
|- ( E. x E. y ( ph \/ ph ) <-> E. x E. y ph )

Proof

Step Hyp Ref Expression
1 oridm
 |-  ( ( ph \/ ph ) <-> ph )
2 1 2exbii
 |-  ( E. x E. y ( ph \/ ph ) <-> E. x E. y ph )