Theorem simpl3l 1055

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)

Assertion

Ref	Expression
simpl3l	|- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ ta ) -> ph )

Proof of Theorem simpl3l

Step	Hyp	Ref	Expression
1		simp3l 1028	. 2 |- ( ( ch /\ th /\ ( ph /\ ps ) ) -> ph )
2	1	adantr 276	1 |- ( ( ( ch /\ th /\ ( ph /\ ps ) ) /\ ta ) -> ph )

Syntax hints:   -> wi 4   /\ wa 104   /\ w3a 981

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This theorem depends on definitions:  df-bi 117  df-3an 983

This theorem is referenced by:  tfisi  4643  ltmul1a  8684  ltmul1  8685  lemul1a  8951  xaddass  10011  swrdsbslen  11142  swrdspsleq  11143  dvdsadd2b  12226  dvdsaddre2b  12227  pockthg  12755