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Theorem mercolem8 1509
Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco2 1501. (Contributed by Anthony Hart, 16-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
mercolem8

Proof of Theorem mercolem8
StepHypRef Expression
1 merco2 1501 . 2
2 merco2 1501 . . . . 5
3 mercolem3 1504 . . . . 5
42, 3ax-mp 5 . . . 4
5 mercolem7 1508 . . . . . 6
6 mercolem7 1508 . . . . . 6
75, 6ax-mp 5 . . . . 5
8 merco2 1501 . . . . 5
97, 8ax-mp 5 . . . 4
104, 9ax-mp 5 . . 3
111, 10ax-mp 5 . 2
121, 11ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wfal 1317
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 177  df-tru 1319  df-fal 1320
This theorem is referenced by:  re1tbw1  1510
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