Theorem orim1i 677

Description: Introduce disjunct to both sides of an implication. (Contributed by NM, 6-Jun-1994.)

Hypothesis

Ref	Expression
orim1i.1	|- ( ph -> ps )

Assertion

Ref	Expression
orim1i	|- ( ( ph \/ ch ) -> ( ps \/ ch ) )

Proof of Theorem orim1i

Step	Hyp	Ref	Expression
1		orim1i.1	. 2 |- ( ph -> ps )
2		id 19	. 2 |- ( ch -> ch )
3	1, 2	orim12i 676	1 |- ( ( ph \/ ch ) -> ( ps \/ ch ) )

Syntax hints:   -> wi 4   \/ wo 629

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630

This theorem depends on definitions:  df-bi 110

This theorem is referenced by:  19.34  1574  dveeq2or  1697  sbequilem  1719  sbequi  1720  dvelimALT  1886  dvelimfv  1887  dvelimor  1894  r19.45av  2470  acexmidlemcase  5507  nnm1nn0  8223