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Theorem trujust 1309
Description: Soundness justification theorem for df-tru 1310. (Contributed by Mario Carneiro, 17-Nov-2013.)
Assertion
Ref Expression
trujust  |-  ( (
ph 
<-> 
ph )  <->  ( ps  <->  ps ) )

Proof of Theorem trujust
StepHypRef Expression
1 biid 227 . 2  |-  ( ph  <->  ph )
2 biid 227 . 2  |-  ( ps  <->  ps )
31, 22th 230 1  |-  ( (
ph 
<-> 
ph )  <->  ( ps  <->  ps ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 176
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177
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