Theorem orim2i 713

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
orim2i	|- ( ( ch \/ ph ) -> ( ch \/ ps ) )

Proof of Theorem orim2i

Step	Hyp	Ref	Expression
1		id 19	. 2 |- ( ch -> ch )
2		orim1i.1	. 2 |- ( ph -> ps )
3	1, 2	orim12i 711	1 |- ( ( ch \/ ph ) -> ( ch \/ ps ) )

Syntax hints:   -> wi 4   \/ wo 664

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 665

This theorem depends on definitions:  df-bi 115

This theorem is referenced by:  orbi2i  714  pm1.5  717  pm2.3  727  ordi  765  dcn  784  pm2.25dc  830  dcan  880  axi12  1452  dveeq2or  1744  equs5or  1758  sb4or  1761  sb4bor  1763  nfsb2or  1765  sbequilem  1766  sbequi  1767  sbal1yz  1925  dvelimor  1942  exmodc  1998  r19.44av  2526  exmidundif  4035  elsuci  4230  acexmidlemcase  5647  undifdcss  6631  updjudhf  6768  zindd  8862  fsumsplitsn  10800