Theorem 19.40 1135

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		pm3.26 326	. . 3 |- ((ph /\ ps) -> ph)
2	1	19.22i 1081	. 2 |- (E.x(ph /\ ps) -> E.xph)
3		pm3.27 330	. . 3 |- ((ph /\ ps) -> ps)
4	3	19.22i 1081	. 2 |- (E.x(ph /\ ps) -> E.xps)
5	2, 4	jca 295	1 |- (E.x(ph /\ ps) -> (E.xph /\ E.xps))

Syntax hints:   -> wi 3   /\ wa 230  E.wex 1021

This theorem is referenced by:  euex 1436  elisset 1864  uniin 2574  dmin 3375  imadif 3631  fv3 3790  rcfpfillem3 10673

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1004  ax-4 1014  ax-5o 1016

This theorem depends on definitions:  df-bi 154  df-an 232  df-ex 1022

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