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Theorem impbox2 25005
Description: Removing boxes in the antecedents and consequent. (Contributed by FL, 16-Sep-2016.)
Hypothesis
Ref Expression
impbox2.1  |-  ( ch 
->  ( ph  ->  ps ) )
Assertion
Ref Expression
impbox2  |-  ( [.]
ch  ->  ( [.] ph  ->  [.] ps ) )

Proof of Theorem impbox2
StepHypRef Expression
1 impbox2.1 . . 3  |-  ( ch 
->  ( ph  ->  ps ) )
21impbox 24981 . 2  |-  ( [.]
ch  ->  [.] ( ph  ->  ps ) )
3 ax-ltl1 24974 . 2  |-  ( [.] ( ph  ->  ps )  ->  ( [.] ph  ->  [.] ps ) )
42, 3syl 15 1  |-  ( [.]
ch  ->  ( [.] ph  ->  [.] ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4   [.]wbox 24970
This theorem is referenced by:  boxand  25006
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8  ax-ltl1 24974  ax-lmp 24978
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