Theorem mp3anl2 1319

Description: An inference based on modus ponens. (Contributed by NM, 24-Feb-2005.)

Hypotheses

Ref	Expression
mp3anl2.1
mp3anl2.2

Assertion

Ref	Expression
mp3anl2

Proof of Theorem mp3anl2

Step	Hyp	Ref	Expression
1		mp3anl2.1	. . 3
2		mp3anl2.2	. . . 4
3	2	ex 434	. . 3
4	1, 3	mp3an2 1312	. 2
5	4	imp 429	1

Syntax hints:  ->wi 4  /\wa 369  /\w3a 973

This theorem is referenced by:  mp3anr2  1322  ccat2s1fst  12643  1dvds  13998  bcs2  26099  nmopub2tALT  26828  nmfnleub2  26845  nmophmi  26950  nmopcoadji  27020  atordi  27303  mdsymlem5  27326

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-an 371  df-3an 975