Theorem 3orrot 864

Description: Rotation law for triple disjunction.

Assertion

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

Proof of Theorem 3orrot

Step	Hyp	Ref	Expression
1		orcom 266	. 2 |- ((ph \/ (ps \/ ch)) <-> ((ps \/ ch) \/ ph))
2		3orass 861	. 2 |- ((ph \/ ps \/ ch) <-> (ph \/ (ps \/ ch)))
3		df-3or 859	. 2 |- ((ps \/ ch \/ ph) <-> ((ps \/ ch) \/ ph))
4	1, 2, 3	3bitr4i 200	1 |- ((ph \/ ps \/ ch) <-> (ps \/ ch \/ ph))

Syntax hints:   <-> wb 163   \/ wo 239   \/ w3o 857

This theorem is referenced by:  3mix2 1046  3mix3 1047  tprot 3103  lttri4OLD 6685  ssxr 6714  elnnz 7354  elznn 7359  elnnz1 7364  3orel2 13806  dfon2lem5 13853  dfon2lem6 13854

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-or 241  df-3or 859

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