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Theorem mtp-xorOLD 1527
Description: Obsolete version of mtp-xor 1526 as of 11-Nov-2017. (Contributed by David A. Wheeler, 4-Jul-2016.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
mtp-xor.1  |-  -.  ph
mtp-xor.2  |-  ( ph  \/_ 
ps )
Assertion
Ref Expression
mtp-xorOLD  |-  ps

Proof of Theorem mtp-xorOLD
StepHypRef Expression
1 mtp-xor.1 . 2  |-  -.  ph
2 mtp-xor.2 . . . . 5  |-  ( ph  \/_ 
ps )
3 df-xor 1296 . . . . 5  |-  ( (
ph  \/_  ps )  <->  -.  ( ph  <->  ps )
)
42, 3mpbi 199 . . . 4  |-  -.  ( ph 
<->  ps )
5 bicom 191 . . . 4  |-  ( (
ph 
<->  ps )  <->  ( ps  <->  ph ) )
64, 5mtbi 289 . . 3  |-  -.  ( ps 
<-> 
ph )
7 xor3 346 . . 3  |-  ( -.  ( ps  <->  ph )  <->  ( ps  <->  -. 
ph ) )
86, 7mpbi 199 . 2  |-  ( ps  <->  -. 
ph )
91, 8mpbir 200 1  |-  ps
Colors of variables: wff set class
Syntax hints:   -. wn 3    <-> wb 176    \/_ wxo 1295
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-xor 1296
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