Theorem orim1d 739

Description: Disjoin antecedents and consequents in a deduction. (Contributed by NM, 23-Apr-1995.)

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 21	. 2 |- ( ph -> ( th -> th ) )
3	1, 2	orim12d 738	1 |- ( ph -> ( ( ps \/ th ) -> ( ch \/ th ) ) )

Syntax hints:   -> wi 4   \/ wo 667

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 668

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  pm2.38  755  pm2.73  758  pm2.74  759  pm2.8  762  pm2.82  764  unss1  3184  acexmidlemcase  5685  exmidomniim  6884  nn0ge2m1nn  8831  exmidsbthrlem  12621