Theorem 19.34 1089

Description: Theorem 19.34 of [Margaris] p. 90.

Assertion

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

Proof of Theorem 19.34

Step	Hyp	Ref	Expression
1		19.2 1026	. . 3 |- (A.xph -> E.xph)
2	1	orim1i 337	. 2 |- ((A.xph \/ E.xps) -> (E.xph \/ E.xps))
3		19.43 1084	. 2 |- (E.x(ph \/ ps) <-> (E.xph \/ E.xps))
4	2, 3	sylibr 200	1 |- ((A.xph \/ E.xps) -> E.x(ph \/ ps))

Syntax hints:   -> wi 3   \/ wo 222  A.wal 951  E.wex 977

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 960  ax-4 970  ax-5o 972

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 978

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