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Theorem a1i24 32295
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 5-Aug-2009.)
Hypothesis
Ref Expression
a1i24.1 |- ( ph -> ( ch -> ta ) )
Assertion
Ref Expression
a1i24 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Proof of Theorem a1i24
StepHypRef Expression
1 a1i24.1 . . 3 |- ( ph -> ( ch -> ta ) )
21a1dd 50 . 2 |- ( ph -> ( ch -> ( th -> ta ) ) )
32a1d 25 1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Colors of variables: wff setvar class
Syntax hints:   -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator