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Theorem 3anim2i 1169
Description: Add two conjuncts to antecedent and consequent. (Contributed by AV, 21-Nov-2019.)
Hypothesis
Ref Expression
3animi.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
3anim2i  |-  ( ( ch  /\  ph  /\  th )  ->  ( ch  /\ 
ps  /\  th )
)

Proof of Theorem 3anim2i
StepHypRef Expression
1 id 19 . 2  |-  ( ch 
->  ch )
2 3animi.1 . 2  |-  ( ph  ->  ps )
3 id 19 . 2  |-  ( th 
->  th )
41, 2, 33anim123i 1167 1  |-  ( ( ch  /\  ph  /\  th )  ->  ( ch  /\ 
ps  /\  th )
)
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ w3a 963
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 965
This theorem is referenced by:  ctssdclemr  7004  elfzo0z  9991
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