Theorem animorr 506

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 477	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	olcd 408	1 |- ( ( ph /\ ps ) -> ( ch \/ ps ) )

Syntax hints:   -> wi 4   \/ wo 383   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386

This theorem is referenced by:  3vfriswmgrlem  27141  bj-dfbi6  32560  nelpr2  39261