Axiom ax-10 1837

Description: Axiom of Quantified Negation. Axiom C5-2 of [Monk2] p. 113. This axiom scheme is logically redundant (see ax10w 1825) but is used as an auxiliary axiom to achieve metalogical completeness. It means that is not free in . (Contributed by NM, 21-May-2008.) Use its alias hbn1 1838 instead. (New usage is discouraged.)

Assertion

Ref	Expression
ax-10

Detailed syntax breakdown of Axiom ax-10

Step	Hyp	Ref	Expression
1		wph	. . . 4
2		vx	. . . 4
3	1, 2	wal 1393	. . 3
4	3	wn 3	. 2
5	4, 2	wal 1393	. 2
6	4, 5	wi 4	1

This axiom is referenced by:  hbn1  1838