Theorem 19.40 1096

Description: Theorem 19.40 of [Margaris] p. 90.

Assertion

Ref	Expression
19.40	|- (E.x(ph /\ ps) -> (E.xph /\ E.xps))

Proof of Theorem 19.40

Step	Hyp	Ref	Expression
1		pm3.26 319	. . 3 |- ((ph /\ ps) -> ph)
2	1	19.22i 1042	. 2 |- (E.x(ph /\ ps) -> E.xph)
3		pm3.27 323	. . 3 |- ((ph /\ ps) -> ps)
4	3	19.22i 1042	. 2 |- (E.x(ph /\ ps) -> E.xps)
5	2, 4	jca 288	1 |- (E.x(ph /\ ps) -> (E.xph /\ E.xps))

Syntax hints:   -> wi 3   /\ wa 223  E.wex 982

This theorem is referenced by:  euex 1396  elisset 1820  uniin 2524  dmin 3324  imadif 3580  fv3 3739  rcfpfillem3 10565

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 965  ax-4 975  ax-5o 977

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 983

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