Theorem merco1lem14 1563

Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco1 1546. (Contributed by Anthony Hart, 18-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
merco1lem14

Proof of Theorem merco1lem14

Step	Hyp	Ref	Expression
1		merco1lem13 1562	. . . 4
2		merco1lem8 1557	. . . . . 6
3		merco1 1546	. . . . . 6
4	2, 3	ax-mp 5	. . . . 5
5		merco1lem9 1558	. . . . 5
6	4, 5	ax-mp 5	. . . 4
7	1, 6	ax-mp 5	. . 3
8		merco1lem12 1561	. . 3
9	7, 8	ax-mp 5	. 2
10		merco1 1546	. 2
11	9, 10	ax-mp 5	1

Syntax hints:  ->wi 4  wfal 1400

This theorem is referenced by:  merco1lem15  1564  retbwax1  1568

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