Theorem prtlem1 16230

Description: Add a disjunct in the antecedent.

Hypothesis

Ref	Expression
prtlem1.1	|- (ps -> (ch -> ph))

Assertion

Ref	Expression
prtlem1	|- ((ph \/ ps) -> (ch -> ph))

Proof of Theorem prtlem1

Step	Hyp	Ref	Expression
1		ax-1 4	. 2 |- (ph -> (ch -> ph))
2		prtlem1.1	. 2 |- (ps -> (ch -> ph))
3	1, 2	jaoi 368	1 |- ((ph \/ ps) -> (ch -> ph))

Syntax hints:   -> wi 3   \/ wo 239

This theorem is referenced by:  prtlem14 16277

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 164  df-or 241  df-an 242

Copyright terms: Public domain