Theorem nabi1 32389

Description: Constructor theorem for -/\. (Contributed by Anthony Hart, 1-Sep-2011.)

Assertion

Ref	Expression
nabi1	|- ( ( ph <-> ps ) -> ( ( ph -/\ ch ) <-> ( ps -/\ ch ) ) )

Proof of Theorem nabi1

Step	Hyp	Ref	Expression
1		nanbi1 1455	1 |- ( ( ph <-> ps ) -> ( ( ph -/\ ch ) <-> ( ps -/\ ch ) ) )

Syntax hints:   -> wi 4   <-> wb 196   -/\ wnan 1447

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-an 386  df-nan 1448

This theorem is referenced by: (None)