Theorem intnanr 872

Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 3-Apr-1995.)

Hypothesis

Ref	Expression
intnan.1	|- -. ph

Assertion

Ref	Expression
intnanr	|- -. ( ph /\ ps )

Proof of Theorem intnanr

Step	Hyp	Ref	Expression
1		intnan.1	. 2 |- -. ph
2		simpl 107	. 2 |- ( ( ph /\ ps ) -> ph )
3	1, 2	mto 620	1 |- -. ( ph /\ ps )

Syntax hints:   -. wn 3   /\ wa 102

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-in1 576  ax-in2 577

This theorem is referenced by:  rab0  3273  co02  4854  frec0g  6006  xrltnr  8855  pnfnlt  8862  nltmnf  8863