Theorem intnan 930

Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 16-Sep-1993.)

Hypothesis

Ref	Expression
intnan.1	|- -. ph

Assertion

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

Proof of Theorem intnan

Step	Hyp	Ref	Expression
1		intnan.1	. 2 |- -. ph
2		simpr 110	. 2 |- ( ( ps /\ ph ) -> ph )
3	1, 2	mto 663	1 |- -. ( ps /\ ph )

Syntax hints:   -. wn 3   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia2 107  ax-in1 615  ax-in2 616

This theorem is referenced by:  bianfi  949  axnul  4154  fodjum  7205  nninfwlporlemd  7231  2omotaplemap  7317  xrltnr  9845  nltmnf  9854  3lcm2e6woprm  12224  6lcm4e12  12225  subctctexmid  15491