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Definition df-had 1370
Description: Define the half adder (triple XOR). (Contributed by Mario Carneiro, 4-Sep-2016.)
Assertion
Ref Expression
df-had  |-  (hadd (
ph ,  ps ,  ch )  <->  ( ( ph \/_ ps ) \/_ ch ) )

Detailed syntax breakdown of Definition df-had
StepHypRef Expression
1 wph . . 3  wff  ph
2 wps . . 3  wff  ps
3 wch . . 3  wff  ch
41, 2, 3whad 1368 . 2  wff hadd ( ph ,  ps ,  ch )
51, 2wxo 1295 . . 3  wff  ( ph \/_ ps )
65, 3wxo 1295 . 2  wff  ( (
ph \/_ ps ) \/_
ch )
74, 6wb 176 1  wff  (hadd (
ph ,  ps ,  ch )  <->  ( ( ph \/_ ps ) \/_ ch ) )
Colors of variables: wff set class
This definition is referenced by:  hadbi123d  1372  hadass  1376  hadbi  1377  hadcoma  1378  hadnot  1383
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