Theorem animorr 836

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 110	. 2 |- ( ( ph /\ ps ) -> ps )
2	1	olcd 746	1 |- ( ( ph /\ ps ) -> ( ch \/ ps ) )

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:  hashf1  11287