Theorem naim1i 32386

Description: Constructor rule for -/\. (Contributed by Anthony Hart, 2-Sep-2011.)

Hypotheses

Ref	Expression
naim1i.1	|- ( ph -> ps )
naim1i.2	|- ( ps -/\ ch )

Assertion

Ref	Expression
naim1i	|- ( ph -/\ ch )

Proof of Theorem naim1i

Step	Hyp	Ref	Expression
1		naim1i.1	. 2 |- ( ph -> ps )
2		naim1i.2	. 2 |- ( ps -/\ ch )
3		naim1 32384	. 2 |- ( ( ph -> ps ) -> ( ( ps -/\ ch ) -> ( ph -/\ ch ) ) )
4	1, 2, 3	mp2 9	1 |- ( ph -/\ ch )

Syntax hints:   -> wi 4   -/\ 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-or 385  df-an 386  df-nan 1448

This theorem is referenced by:  naim12i  32388