Theorem 3simpb 788

Description: Simplification of triple conjunction.

Assertion

Ref	Expression
3simpb	|- ((ph /\ ps /\ ch) -> (ph /\ ch))

Proof of Theorem 3simpb

Step	Hyp	Ref	Expression
1		3ancomb 785	. 2 |- ((ph /\ ps /\ ch) <-> (ph /\ ch /\ ps))
2		3simpa 787	. 2 |- ((ph /\ ch /\ ps) -> (ph /\ ch))
3	1, 2	sylbi 199	1 |- ((ph /\ ps /\ ch) -> (ph /\ ch))

Syntax hints:   -> wi 3   /\ wa 223   /\ w3a 777

This theorem is referenced by:  3adant2 800  supmax 4598  elfzlem 6474  rcfpfil 10569  cmpmon 10714  icmpmon 10715

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 147  df-an 225  df-3an 779

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