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Theorem tsor2 33955
Description: A Tseitin axiom for logical disjunction, in deduction form. (Contributed by Giovanni Mascellani, 25-Mar-2018.)
Assertion
Ref Expression
tsor2  |-  ( th 
->  ( -.  ph  \/  ( ph  \/  ps )
) )

Proof of Theorem tsor2
StepHypRef Expression
1 orc 400 . . 3  |-  ( ph  ->  ( ph  \/  ps ) )
21imori 429 . 2  |-  ( -. 
ph  \/  ( ph  \/  ps ) )
32a1i 11 1  |-  ( th 
->  ( -.  ph  \/  ( ph  \/  ps )
) )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4    \/ wo 383
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 197  df-or 385
This theorem is referenced by:  ts3or2  33961
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