Theorem animorr 819

Description: Conjunction implies disjunction with one common formula (2/4). (Contributed by BJ, 4-Oct-2019.)

Assertion

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

Proof of Theorem animorr

Step	Hyp	Ref	Expression
1		simpr 109	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	olcd 729	1 |- ( ( ph /\ ps ) -> ( ch \/ ps ) )

Syntax hints:   -> wi 4   /\ wa 103   \/ wo 703

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 704

This theorem depends on definitions:  df-bi 116

This theorem is referenced by: (None)