Theorem orim2i 338

Description: Introduce disjunct to both sides of an implication.

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 59	. 2 |- (ch -> ch)
2		orim1i.1	. 2 |- (ph -> ps)
3	1, 2	orim12i 336	1 |- ((ch \/ ph) -> (ch \/ ps))

Syntax hints:   -> wi 3   \/ wo 222

This theorem is referenced by:  pm2.3 339  ordi 595  r19.44av 1763  elpwunsn 2907  elsuci 3030  ordnbtwn 3058  entri3 4821  irred 10258

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