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Theorem ad6antlr 736
Description: Deduction adding 6 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.)
Hypothesis
Ref Expression
ad2ant.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
ad6antlr  |-  ( ( ( ( ( ( ( ch  /\  ph )  /\  th )  /\  ta )  /\  et )  /\  ze )  /\  si )  ->  ps )

Proof of Theorem ad6antlr
StepHypRef Expression
1 ad2ant.1 . . 3  |-  ( ph  ->  ps )
21ad5antlr 734 . 2  |-  ( ( ( ( ( ( ch  /\  ph )  /\  th )  /\  ta )  /\  et )  /\  ze )  ->  ps )
32adantr 465 1  |-  ( ( ( ( ( ( ( ch  /\  ph )  /\  th )  /\  ta )  /\  et )  /\  ze )  /\  si )  ->  ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 369
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 185  df-an 371
This theorem is referenced by:  ad7antlr  738  heicant  28567  itg2gt0cn  28588  ftc1anclem7  28614
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