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Theorem a1i34 26204
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 5-Aug-2009.)
Hypothesis
Ref Expression
a1i34.1  |-  ( ph  ->  ( ps  ->  ta ) )
Assertion
Ref Expression
a1i34  |-  ( ph  ->  ( ps  ->  ( ch  ->  ( th  ->  ta ) ) ) )

Proof of Theorem a1i34
StepHypRef Expression
1 a1i34.1 . . 3  |-  ( ph  ->  ( ps  ->  ta ) )
21a1dd 42 . 2  |-  ( ph  ->  ( ps  ->  ( th  ->  ta ) ) )
32a1dd 42 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  ( th  ->  ta ) ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
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