Theorem orim1i 337

Description: Introduce disjunct to both sides of an implication.

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

Syntax hints:   -> wi 3   \/ wo 222

This theorem is referenced by:  pm2.85 577  19.34 1089  euor2 1430  r19.45av 1759

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

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