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Theorem tbw-ax1 1455
Description: The first of four axioms in the Tarski-Bernays-Wajsberg system. (Contributed by Anthony Hart, 13-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
tbw-ax1  |-  ( (
ph  ->  ps )  -> 
( ( ps  ->  ch )  ->  ( ph  ->  ch ) ) )

Proof of Theorem tbw-ax1
StepHypRef Expression
1 imim1 70 1  |-  ( (
ph  ->  ps )  -> 
( ( ps  ->  ch )  ->  ( ph  ->  ch ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem is referenced by:  tbwsyl  1459  tbwlem1  1460  tbwlem2  1461  tbwlem3  1462  tbwlem4  1463  tbwlem5  1464  re1luk1  1465  re1luk2  1466  re1luk3  1467
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
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