Theorem animorlr 837

Description: Conjunction implies disjunction with one common formula (3/4). (Contributed by BJ, 4-Oct-2019.)

Assertion

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

Proof of Theorem animorlr

Step	Hyp	Ref	Expression
1		simpl 109	. 2 |- ( ( ph /\ ps ) -> ph )
2	1	olcd 746	1 |- ( ( ph /\ ps ) -> ( ch \/ ph ) )

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-ia3 108  ax-io 721

This proof depends on definitions:  df-bi 117

This theorem is used by: (None)