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Theorem 3ad2antl1 1128
Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
Hypothesis
Ref Expression
3ad2antl.1  |-  ( (
ph  /\  ch )  ->  th )
Assertion
Ref Expression
3ad2antl1  |-  ( ( ( ph  /\  ps  /\ 
ta )  /\  ch )  ->  th )

Proof of Theorem 3ad2antl1
StepHypRef Expression
1 3ad2antl.1 . . 3  |-  ( (
ph  /\  ch )  ->  th )
21adantlr 468 . 2  |-  ( ( ( ph  /\  ta )  /\  ch )  ->  th )
323adantl2 1123 1  |-  ( ( ( ph  /\  ps  /\ 
ta )  /\  ch )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103    /\ w3a 947
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 949
This theorem is referenced by:  acexmid  5741  ordiso2  6888  addlocpr  7312  distrlem1prl  7358  distrlem1pru  7359  ltsopr  7372  addcanprlemu  7391  fzo1fzo0n0  9928  muldvds2  11446  dvds2add  11454  dvds2sub  11455  dvdstr  11457  cnpnei  12315  upxp  12368
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