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Theorem 2a1d 23
Description: Deduction introducing two antecedents. Two applications of a1d 22. Deduction associated with 2a1 25 and 2a1i 27. (Contributed by BJ, 10-Aug-2020.)
Hypothesis
Ref Expression
2a1d.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
2a1d  |-  ( ph  ->  ( ch  ->  ( th  ->  ps ) ) )

Proof of Theorem 2a1d
StepHypRef Expression
1 2a1d.1 . . 3  |-  ( ph  ->  ps )
21a1d 22 . 2  |-  ( ph  ->  ( th  ->  ps ) )
32a1d 22 1  |-  ( ph  ->  ( ch  ->  ( th  ->  ps ) ) )
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:  2a1  25  nn0o1gt2  10449
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