Theorem intnan 871

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 108	. 2 |- ( ( ps /\ ph ) -> ph )
3	1, 2	mto 620	1 |- -. ( ps /\ ph )

Syntax hints:   -. wn 3   /\ wa 102

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia2 105  ax-in1 576  ax-in2 577

This theorem is referenced by:  bianfi  888  axnul  3903  xrltnr  8855  nltmnf  8863  3lcm2e6woprm  10468  6lcm4e12  10469