Theorem intnanr 930

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 109	. 2 |- ( ( ph /\ ps ) -> ph )
3	1, 2	mto 662	1 |- -. ( ph /\ ps )

Syntax hints:   -. wn 3   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-in1 614  ax-in2 615

This theorem is referenced by:  rab0  3453  co02  5144  frec0g  6400  djulclb  7056  xrltnr  9781  pnfnlt  9789  nltmnf  9790  0g0  12800  if0ab  14596