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Theorem mercolem2 1663

Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco2 1661. (Contributed by Anthony Hart, 16-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

**Assertion**
Ref	Expression
mercolem2

**Proof of Theorem mercolem2**
Step	Hyp	Ref	Expression
1		merco2 1661	. 2
2		merco2 1661	. . . 4
3		merco2 1661	. . . . . . . 8
4		merco2 1661	. . . . . . . 8
5	3, 4	ax-mp 5	. . . . . . 7
6		merco2 1661	. . . . . . 7
7	5, 6	ax-mp 5	. . . . . 6
8		merco2 1661	. . . . . 6
9	7, 8	ax-mp 5	. . . . 5
10		merco2 1661	. . . . 5
11	9, 10	ax-mp 5	. . . 4
12	2, 11	ax-mp 5	. . 3
13	1, 12	ax-mp 5	. 2
14	1, 13	ax-mp 5	1

Colors of variables: wff setvar class

Syntax hints:

wi 4

wfal 1488

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 197 df-tru 1486 df-fal 1489

This theorem is referenced by: mercolem3 1664 mercolem5 1666 re1tbw3 1672

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