Theorem orim1d 568

Description: Disjoin antecedents and consequents in a deduction.

Hypothesis

Ref	Expression
orim1d.1	|- (ph -> (ps -> ch))

Assertion

Ref	Expression
orim1d	|- (ph -> ((ps \/ th) -> (ch \/ th)))

Proof of Theorem orim1d

Step	Hyp	Ref	Expression
1		orim1d.1	. 2 |- (ph -> (ps -> ch))
2		idd 61	. 2 |- (ph -> (th -> th))
3	1, 2	orim12d 567	1 |- (ph -> ((ps \/ th) -> (ch \/ th)))

Syntax hints:   -> wi 3   \/ wo 222

This theorem is referenced by:  pm2.38 571  pm2.73 574  pm2.74 575  pm2.8 578  pm2.82 580  moeq3 1924  ordtri2or2 3084

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-an 225

Copyright terms: Public domain