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Theorem 2a1i 27
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 4-Aug-2009.) (Proof shortened by Wolf Lammen, 23-Jul-2013.)
Hypothesis
Ref Expression
2a1i.1  |-  ch
Assertion
Ref Expression
2a1i  |-  ( ph  ->  ( ps  ->  ch ) )

Proof of Theorem 2a1i
StepHypRef Expression
1 2a1i.1 . . 3  |-  ch
21a1i 9 . 2  |-  ( ph  ->  ch )
32a1d 22 1  |-  ( ph  ->  ( ps  ->  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  equvini  1682  sbcrext  2892  iseqid2  9553
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