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Theorem 3ad2antl2 1127
Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
Hypothesis
Ref Expression
3ad2antl.1  |-  ( (
ph  /\  ch )  ->  th )
Assertion
Ref Expression
3ad2antl2  |-  ( ( ( ps  /\  ph  /\ 
ta )  /\  ch )  ->  th )

Proof of Theorem 3ad2antl2
StepHypRef Expression
1 3ad2antl.1 . . 3  |-  ( (
ph  /\  ch )  ->  th )
21adantlr 466 . 2  |-  ( ( ( ph  /\  ta )  /\  ch )  ->  th )
323adantl1 1120 1  |-  ( ( ( ps  /\  ph  /\ 
ta )  /\  ch )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    /\ w3a 945
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 947
This theorem is referenced by:  fcofo  5651  cocan1  5654  acexmid  5739  caovimo  5930  ordiso2  6886  mkvprop  6998  ltpopr  7367  ltsopr  7368  addcanprleml  7386  addcanprlemu  7387  aptiprlemu  7412  muldvds1  11414  lcmdvds  11656  cnpnei  12283
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