Theorem pm3.33 357

Description: Theorem *3.33 (Syll) of [WhiteheadRussell] p. 112.

Assertion

Ref	Expression
pm3.33	|- (((ph -> ps) /\ (ps -> ch)) -> (ph -> ch))

Proof of Theorem pm3.33

Step	Hyp	Ref	Expression
1		imim1 15	. 2 |- ((ph -> ps) -> ((ps -> ch) -> (ph -> ch)))
2	1	imp 350	1 |- (((ph -> ps) /\ (ps -> ch)) -> (ph -> ch))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  ivthlem7 7222  ivthlem7OLD 7231

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-an 225

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