Theorem pm4.77 423

Description: Theorem *4.77 of [WhiteheadRussell] p. 121.

Assertion

Ref	Expression
pm4.77	|- (((ps -> ph) /\ (ch -> ph)) <-> ((ps \/ ch) -> ph))

Proof of Theorem pm4.77

Step	Hyp	Ref	Expression
1		jaob 422	. 2 |- (((ps \/ ch) -> ph) <-> ((ps -> ph) /\ (ch -> ph)))
2	1	bicomi 172	1 |- (((ps -> ph) /\ (ch -> ph)) <-> ((ps \/ ch) -> ph))

Syntax hints:   -> wi 3   <-> wb 146   \/ wo 222   /\ wa 223

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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