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Theorem tbwsyl 1469
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.)
Hypotheses
Ref Expression
tbwsyl.1
tbwsyl.2
Assertion
Ref Expression
tbwsyl

Proof of Theorem tbwsyl
StepHypRef Expression
1 tbwsyl.2 . 2
2 tbwsyl.1 . . 3
3 tbw-ax1 1465 . . 3
42, 3ax-mp 5 . 2
51, 4ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:   wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  tbwlem1  1470  tbwlem2  1471  tbwlem3  1472  tbwlem4  1473  tbwlem5  1474  re1luk2  1476
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