Theorem pm2.37 573

Description: Theorem *2.37 of [WhiteheadRussell] p. 105.

Assertion

Ref	Expression
pm2.37	|- ((ps -> ch) -> ((ps \/ ph) -> (ph \/ ch)))

Proof of Theorem pm2.37

Step	Hyp	Ref	Expression
1		pm2.38 571	. 2 |- ((ps -> ch) -> ((ps \/ ph) -> (ch \/ ph)))
2		pm1.4 247	. 2 |- ((ch \/ ph) -> (ph \/ ch))
3	1, 2	syl6 22	1 |- ((ps -> ch) -> ((ps \/ ph) -> (ph \/ ch)))

Syntax hints:   -> wi 3   \/ wo 222

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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