Theorem animorrl 838

Description: Conjunction implies disjunction with one common formula (4/4). (Contributed by BJ, 4-Oct-2019.)

Assertion

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

Proof of Theorem animorrl

Step	Hyp	Ref	Expression
1		simpr 110	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	orcd 745	1 |- ( ( ph /\ ps ) -> ( ps \/ ch ) )

This proof depends on syntax axioms:   -> wi 4   /\ wa 104   \/ wo 720

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-io 721

This proof depends on definitions:  df-bi 117

This theorem is used by:  zzlesq  11146  ccatsymb  11370  nnwosdc  12816  wexmiddiffi  17044