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Theorem cadrot 1403
Description: Rotation law for adder carry. (Contributed by Mario Carneiro, 4-Sep-2016.)
Assertion
Ref Expression
cadrot  |-  (cadd (
ph ,  ps ,  ch )  <-> cadd ( ps ,  ch ,  ph ) )

Proof of Theorem cadrot
StepHypRef Expression
1 cadcoma 1401 . 2  |-  (cadd (
ph ,  ps ,  ch )  <-> cadd ( ps ,  ph ,  ch ) )
2 cadcomb 1402 . 2  |-  (cadd ( ps ,  ph ,  ch )  <-> cadd ( ps ,  ch ,  ph ) )
31, 2bitri 241 1  |-  (cadd (
ph ,  ps ,  ch )  <-> cadd ( ps ,  ch ,  ph ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 177  caddwcad 1385
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 178  df-or 360  df-an 361  df-3or 937  df-xor 1311  df-cad 1387
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