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Theorem simpl3r 932
Description: Simplification of conjunction.
Assertion
Ref Expression
simpl3r |- (((ch /\ th /\ (ph /\ ps)) /\ ta) -> ps)

Proof of Theorem simpl3r
StepHypRef Expression
1 simp3r 905 . 2 |- ((ch /\ th /\ (ph /\ ps)) -> ps)
21adantr 425 1 |- (((ch /\ th /\ (ph /\ ps)) /\ ta) -> ps)
Colors of variables: wff set class
Syntax hints:   -> wi 3   /\ wa 240   /\ w3a 858
This theorem is referenced by:  ssblex 9133  idmon 15166  iccss 15855  cvrcmp 16999  atcvrj2b 17069  ps2 17079  paddasslem8 17288  paddasslem9 17289  paddasslem10 17290  paddasslem12 17292  paddasslem13 17293
This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7
This theorem depends on definitions:  df-bi 164  df-an 242  df-3an 860
Copyright terms: Public domain