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Theorem 3anim3i 1154
Description: Add two conjuncts to antecedent and consequent. (Contributed by Jeff Hankins, 19-Aug-2009.)
Hypothesis
Ref Expression
3animi.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
3anim3i  |-  ( ( ch  /\  th  /\  ph )  ->  ( ch  /\ 
th  /\  ps )
)

Proof of Theorem 3anim3i
StepHypRef Expression
1 id 19 . 2  |-  ( ch 
->  ch )
2 id 19 . 2  |-  ( th 
->  th )
3 3animi.1 . 2  |-  ( ph  ->  ps )
41, 2, 33anim123i 1151 1  |-  ( ( ch  /\  th  /\  ph )  ->  ( ch  /\ 
th  /\  ps )
)
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 947
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 949
This theorem is referenced by:  syl3anl3  1251  syl3anr3  1255  elioo4g  9685
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