Theorem orim2d 569

Description: Disjoin antecedents and consequents in a deduction.

Hypothesis

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

Assertion

Ref	Expression
orim2d	|- (ph -> ((th \/ ps) -> (th \/ ch)))

Proof of Theorem orim2d

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

Syntax hints:   -> wi 3   \/ wo 222

This theorem is referenced by:  orim2 570  pm2.75 576  pm2.82 580  nneo 6199

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