Theorem 3mix3d 13814

Description: Deduction introducing triple disjunction.

Hypothesis

Ref	Expression
3mixd.1	|- (ph -> ps)

Assertion

Ref	Expression
3mix3d	|- (ph -> (ch \/ th \/ ps))

Proof of Theorem 3mix3d

Step	Hyp	Ref	Expression
1		3mixd.1	. 2 |- (ph -> ps)
2		3mix3 1047	. 2 |- (ps -> (ch \/ th \/ ps))
3	1, 2	syl 12	1 |- (ph -> (ch \/ th \/ ps))

Syntax hints:   -> wi 3   \/ w3o 857

This theorem is referenced by:  axsltsolem1 14006  axdense 14027

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

Copyright terms: Public domain