Theorem retbwax2 1549

Description: tbw-ax2 1534 rederived from merco1 1546. (Contributed by Anthony Hart, 17-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
retbwax2

Proof of Theorem retbwax2

Step	Hyp	Ref	Expression
1		merco1lem1 1547	. . . 4
2		merco1 1546	. . . 4
3	1, 2	ax-mp 5	. . 3
4		merco1 1546	. . . 4
5		merco1 1546	. . . 4
6	4, 5	ax-mp 5	. . 3
7	3, 6	ax-mp 5	. 2
8		merco1lem1 1547	. . . 4
9		merco1 1546	. . . 4
10	8, 9	ax-mp 5	. . 3
11		merco1 1546	. . . 4
12		merco1 1546	. . . 4
13	11, 12	ax-mp 5	. . 3
14	10, 13	ax-mp 5	. 2
15	7, 14	ax-mp 5	1

Syntax hints:  ->wi 4  wfal 1400

This theorem is referenced by:  merco1lem2  1550  merco1lem3  1551  retbwax3  1556

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-tru 1398  df-fal 1401