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Theorem tbwlem3 1472
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
tbwlem3

Proof of Theorem tbwlem3
StepHypRef Expression
1 tbw-ax3 1467 . . 3
2 tbw-ax2 1466 . . . 4
3 tbw-ax1 1465 . . . 4
42, 3tbwsyl 1469 . . 3
51, 4ax-mp 5 . 2
6 tbw-ax1 1465 . . 3
7 tbw-ax3 1467 . . 3
86, 7tbwsyl 1469 . 2
95, 8ax-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 is referenced by:  tbwlem4  1473
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