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Theorem anass1rs 560
Description: Commutative-associative law for conjunction in an antecedent. (Contributed by Jeff Madsen, 19-Jun-2011.)
Hypothesis
Ref Expression
anass1rs.1  |-  ( (
ph  /\  ( ps  /\ 
ch ) )  ->  th )
Assertion
Ref Expression
anass1rs  |-  ( ( ( ph  /\  ch )  /\  ps )  ->  th )

Proof of Theorem anass1rs
StepHypRef Expression
1 anass1rs.1 . . 3  |-  ( (
ph  /\  ( ps  /\ 
ch ) )  ->  th )
21anassrs 397 . 2  |-  ( ( ( ph  /\  ps )  /\  ch )  ->  th )
32an32s 557 1  |-  ( ( ( ph  /\  ch )  /\  ps )  ->  th )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103
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
This theorem is referenced by:  creui  8718  qreccl  9434
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