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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
StepHypRef Expression
1 wph . . . 4
2 vx . . . 4
31, 2wal 1393 . . 3
43wn 3 . 2
54, 2wal 1393 . 2
64, 5wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  hbn1  1838
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