Theorem 3mix3 816

Description: Introduction in triple disjunction.

Assertion

Ref	Expression
3mix3	|- (ph -> (ps \/ ch \/ ph))

Proof of Theorem 3mix3

Step	Hyp	Ref	Expression
1		3mix1 814	. 2 |- (ph -> (ph \/ ps \/ ch))
2		3orrot 780	. 2 |- ((ph \/ ps \/ ch) <-> (ps \/ ch \/ ph))
3	1, 2	sylib 198	1 |- (ph -> (ps \/ ch \/ ph))

Syntax hints:   -> wi 3   \/ w3o 773

This theorem is referenced by:  tz7.44-3 3925

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 775

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