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Theorem xordi 895
 Description: Conjunction distributes over exclusive-or, using to express exclusive-or. This is one way to interpret the distributive law of multiplication over addition in modulo 2 arithmetic. This is not necessarily true in intuitionistic logic, though anxordi 1378 does hold in it. (Contributed by NM, 3-Oct-2008.)
Assertion
Ref Expression
xordi

Proof of Theorem xordi
StepHypRef Expression
1 annim 425 . 2
2 pm5.32 636 . 2
31, 2xchbinx 310 1
 Colors of variables: wff setvar class Syntax hints:  -.wn 3  ->wi 4  <->wb 184  /\wa 369 This theorem is referenced by:  anxordi  1378 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8 This theorem depends on definitions:  df-bi 185  df-an 371
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