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Theorem ad5antlr 746
Description: Deduction adding 5 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.)
Hypothesis
Ref Expression
ad2ant.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
ad5antlr  |-  ( ( ( ( ( ( ch  /\  ph )  /\  th )  /\  ta )  /\  et )  /\  ze )  ->  ps )

Proof of Theorem ad5antlr
StepHypRef Expression
1 ad2ant.1 . . 3  |-  ( ph  ->  ps )
21ad4antlr 744 . 2  |-  ( ( ( ( ( ch 
/\  ph )  /\  th )  /\  ta )  /\  et )  ->  ps )
32adantr 471 1  |-  ( ( ( ( ( ( ch  /\  ph )  /\  th )  /\  ta )  /\  et )  /\  ze )  ->  ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 375
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 190  df-an 377
This theorem is referenced by:  ad6antlr  748  restmetu  21640  usg2spot2nb  25849  foresf1o  28195  fimaproj  28711  locfinreflem  28718  pstmxmet  28751  mblfinlem3  32025  itg2gt0cn  32043  pell1234qrmulcl  35747  suplesup  37637  limclner  37818  bgoldbtbnd  39039
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