Theorem bnj435 13251

Description: /\-manipulation.

Assertion

Ref	Expression
bnj435	|- ((ph /\ ps /\ ch /\ th) <-> ((th /\ ch /\ ph) /\ ps))

Proof of Theorem bnj435

Step	Hyp	Ref	Expression
1		bnj434 13250	. 2 |- ((ph /\ ps /\ ch /\ th) <-> (th /\ ch /\ ph /\ ps))
2		df-bnj17 13009	. 2 |- ((th /\ ch /\ ph /\ ps) <-> ((th /\ ch /\ ph) /\ ps))
3	1, 2	bitri 306	1 |- ((ph /\ ps /\ ch /\ th) <-> ((th /\ ch /\ ph) /\ ps))

Syntax hints:   <-> wb 231   /\ wa 433   /\ w3a 1130   /\ syn-bnj17 13008

This theorem is referenced by:  bnj680 13544

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 232  df-an 435  df-3an 1132  df-bnj17 13009

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