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Theorem simprim 142
Description: Simplification. Similar to Theorem *3.27 (Simp) of [WhiteheadRussell] p. 112. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 13-Nov-2012.)
Assertion
Ref Expression
simprim  |-  ( -.  ( ph  ->  -.  ps )  ->  ps )

Proof of Theorem simprim
StepHypRef Expression
1 idd 21 . 2  |-  ( ph  ->  ( ps  ->  ps ) )
21impi 140 1  |-  ( -.  ( ph  ->  -.  ps )  ->  ps )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4
This theorem is referenced by:  impt  149  bi3  179  bi2  189  imbi12  28581
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
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