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Theorem mercolem3 1572
 Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco2 1569. (Contributed by Anthony Hart, 16-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
mercolem3

Proof of Theorem mercolem3
StepHypRef Expression
1 merco2 1569 . 2
2 merco2 1569 . . . 4
3 mercolem2 1571 . . . . . . 7
4 merco2 1569 . . . . . . 7
53, 4ax-mp 5 . . . . . 6
6 merco2 1569 . . . . . 6
75, 6ax-mp 5 . . . . 5
8 merco2 1569 . . . . 5
97, 8ax-mp 5 . . . 4
102, 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 1400 This theorem is referenced by:  mercolem4  1573  mercolem7  1576  mercolem8  1577  re1tbw1  1578  re1tbw4  1581 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
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