Theorem orim1i 761

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 760	1 |- ( ( ph \/ ch ) -> ( ps \/ ch ) )

Syntax hints:   -> wi 4   \/ wo 709

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  19.34  1698  dveeq2or  1830  sbequilem  1852  sbequi  1853  dvelimALT  2029  dvelimfv  2030  dvelimor  2037  r19.45av  2657  acexmidlemcase  5917  omniwomnimkv  7233  nnm1nn0  9290  prmdc  12298  pcadd2  12510  triap  15673