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Theorem 3ad2antl3 1103
Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
Hypothesis
Ref Expression
3ad2antl.1  |-  ( (
ph  /\  ch )  ->  th )
Assertion
Ref Expression
3ad2antl3  |-  ( ( ( ps  /\  ta  /\ 
ph )  /\  ch )  ->  th )

Proof of Theorem 3ad2antl3
StepHypRef Expression
1 3ad2antl.1 . . 3  |-  ( (
ph  /\  ch )  ->  th )
21adantll 460 . 2  |-  ( ( ( ta  /\  ph )  /\  ch )  ->  th )
323adantl1 1095 1  |-  ( ( ( ps  /\  ta  /\ 
ph )  /\  ch )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102    /\ w3a 920
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115  df-3an 922
This theorem is referenced by:  rspc3ev  2727  brcogw  4563  cocan1  5506  ov6g  5717  prarloclemarch2  6881  ltpopr  7057  ltsopr  7058  zdivmul  8732  lcmdvds  10841
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