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Definition df-had 1380
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 1378 . 2  wff hadd ( ph ,  ps ,  ch )
51, 2wxo 1304 . . 3  wff  ( ph  \/_ 
ps )
65, 3wxo 1304 . 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  1382  hadass  1386  hadbi  1387  hadcoma  1388  hadnot  1393
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