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Theorem tb-ax1 24157
Description: The first of three axioms in the Tarski-Bernays axiom system. (Contributed by Anthony Hart, 16-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
tb-ax1  |-  ( (
ph  ->  ps )  -> 
( ( ps  ->  ch )  ->  ( ph  ->  ch ) ) )

Proof of Theorem tb-ax1
StepHypRef Expression
1 imim1 72 1  |-  ( (
ph  ->  ps )  -> 
( ( ps  ->  ch )  ->  ( ph  ->  ch ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6
This theorem is referenced by:  tbsyl  24160  re1ax2lem  24161  re1ax2  24162
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-mp 10
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