Theorem bnj108OLD 12454

Description: First-order logic and set theory.

Hypothesis

Ref	Expression
bnj108.1	|- E.x(ph /\ ps)

Assertion

Ref	Expression
bnj108OLD	|- E.xps

Proof of Theorem bnj108OLD

Step	Hyp	Ref	Expression
1		bnj108.1	. . 3 |- E.x(ph /\ ps)
2		19.40 1447	. . 3 |- (E.x(ph /\ ps) -> (E.xph /\ E.xps))
3	1, 2	ax-mp 7	. 2 |- (E.xph /\ E.xps)
4	3	simpri 351	1 |- E.xps

Syntax hints:   /\ wa 240  E.wex 1326

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1305  ax-4 1319  ax-5o 1321

This theorem depends on definitions:  df-bi 164  df-an 242  df-ex 1327

Copyright terms: Public domain