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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.) |
Ref | Expression |
---|---|
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 |
Colors of variables: wff setvar class |
This axiom is referenced by: hbn1 1838 |
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