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Theorem tbwlem1 1538
Description: Used to rederive the Lukasiewicz axioms from Tarski-Bernays-Wajsberg'. (Contributed by Anthony Hart, 16-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
tbwlem1

Proof of Theorem tbwlem1
StepHypRef Expression
1 tbw-ax2 1534 . . . 4
2 tbw-ax1 1533 . . . 4
31, 2tbwsyl 1537 . . 3
4 tbw-ax1 1533 . . . 4
5 tbw-ax3 1535 . . . 4
64, 5tbwsyl 1537 . . 3
73, 6tbwsyl 1537 . 2
8 tbw-ax1 1533 . 2
9 tbw-ax1 1533 . 2
107, 8, 9mpsyl 63 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4
This theorem is referenced by:  tbwlem2  1539  tbwlem4  1541  tbwlem5  1542  re1luk3  1545
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
  Copyright terms: Public domain W3C validator