Theorem jad 162

Description: Deduction form of ja 161. (Contributed by Scott Fenton, 13-Dec-2010.) (Proof shortened by Andrew Salmon, 17-Sep-2011.)

Hypotheses

Ref	Expression
jad.1
jad.2

Assertion

Ref	Expression
jad

Proof of Theorem jad

Step	Hyp	Ref	Expression
1		jad.1	. . . 4
2	1	com12 31	. . 3
3		jad.2	. . . 4
4	3	com12 31	. . 3
5	2, 4	ja 161	. 2
6	5	com12 31	1

Syntax hints:  -.wn 3  ->wi 4

This theorem is referenced by:  pm2.6  170  pm2.65  172  merco2  1569  ax12indi  2274  wereu2  4881  isfin7-2  8797  axpowndlem3  8996  axpowndlem3OLD  8997  suppssfz  12100  lo1bdd2  13347  pntlem3  23794  hbimtg  29239  arg-ax  29881  onsuct0  29906  ordcmp  29912  wl-embantd  29976  hbimpg  33327

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