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Description: A proposition is equivalent to it being implied by . Closed form of trud 1408 (which it can shorten); dual of dfnot 1418. It is to tbtru 1409 what a1bi 335 is to tbt 342, and this appears in their respective proofs. (Contributed by BJ, 26Oct2019.) (Proof modification is discouraged.) 
Ref  Expression 

bjtrut 
Step  Hyp  Ref  Expression 

1  tru 1403  . 2  
2  1  a1bi 335  1 
Colors of variables: wff setvar class 
Syntax hints: wi 4 wb 184 wtru 1400 
This theorem was proved from axioms: axmp 5 ax1 6 ax2 7 ax3 8 
This theorem depends on definitions: dfbi 185 dftru 1402 
This theorem is referenced by: (None) 
Copyright terms: Public domain  W3C validator 