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Theorem cadtru 1391
Description: Rotation law for adder carry. (Contributed by Mario Carneiro, 4-Sep-2016.)
Assertion
Ref Expression
cadtru  |- cadd (  T.  ,  T.  ,  ph )

Proof of Theorem cadtru
StepHypRef Expression
1 tru 1312 . 2  |-  T.
2 cad11 1389 . 2  |-  ( (  T.  /\  T.  )  -> cadd (  T.  ,  T.  ,  ph ) )
31, 1, 2mp2an 653 1  |- cadd (  T.  ,  T.  ,  ph )
Colors of variables: wff set class
Syntax hints:    T. wtru 1307  caddwcad 1369
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  df-or 359  df-an 360  df-tru 1310  df-cad 1371
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