Theorem intnanr 920

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 108	. 2 |- ( ( ph /\ ps ) -> ph )
3	1, 2	mto 652	1 |- -. ( ph /\ ps )

Syntax hints:   -. wn 3   /\ wa 103

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-in1 604  ax-in2 605

This theorem is referenced by:  rab0  3437  co02  5117  frec0g  6365  djulclb  7020  xrltnr  9715  pnfnlt  9723  nltmnf  9724  0g0  12607  if0ab  13687