Theorem orim2i 751

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 749	1 |- ( ( ch \/ ph ) -> ( ch \/ ps ) )

Syntax hints:   -> wi 4   \/ wo 698

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  orbi2i  752  pm1.5  755  pm2.3  765  ordi  806  dcn  828  pm2.25dc  879  dcan  919  axi12  1495  dveeq2or  1789  equs5or  1803  sb4or  1806  sb4bor  1808  nfsb2or  1810  sbequilem  1811  sbequi  1812  sbal1yz  1977  dvelimor  1994  exmodc  2050  r19.44av  2593  exmidundif  4137  exmidundifim  4138  elsuci  4333  acexmidlemcase  5777  undifdcss  6819  updjudhf  6972  ctssdccl  7004  zindd  9193  fsumsplitsn  11211  exmid1stab  13368  subctctexmid  13369