Theorem 19.33 1091

Description: Theorem 19.33 of [Margaris] p. 90.

Assertion

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

Proof of Theorem 19.33

Step	Hyp	Ref	Expression
1		orc 269	. . 3 |- (ph -> (ph \/ ps))
2	1	19.20i 992	. 2 |- (A.xph -> A.x(ph \/ ps))
3		olc 268	. . 3 |- (ps -> (ph \/ ps))
4	3	19.20i 992	. 2 |- (A.xps -> A.x(ph \/ ps))
5	2, 4	jaoi 341	1 |- ((A.xph \/ A.xps) -> A.x(ph \/ ps))

Syntax hints:   -> wi 3   \/ wo 222  A.wal 954

This theorem is referenced by:  19.33b 1092

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-4 973  ax-5o 975

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

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