Theorem 3orrot 779

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 246	. 2 |- ((ph \/ (ps \/ ch)) <-> ((ps \/ ch) \/ ph))
2		3orass 776	. 2 |- ((ph \/ ps \/ ch) <-> (ph \/ (ps \/ ch)))
3		df-3or 774	. 2 |- ((ps \/ ch \/ ph) <-> ((ps \/ ch) \/ ph))
4	1, 2, 3	3bitr4 183	1 |- ((ph \/ ps \/ ch) <-> (ps \/ ch \/ ph))

Syntax hints:   <-> wb 146   \/ wo 222   \/ w3o 772

This theorem is referenced by:  3mix2 814  3mix3 815  lttri4t 5487  elnnz 6092  elznn 6097  elnnz1 6102

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-or 224  df-3or 774

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