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Axiom ax-6 963
Description: Axiom of Quantified Negation. Axiom C5-2 of [Monk2] p. 113.
Assertion
Ref Expression
ax-6 |- (-. A.xph -> A.x -. A.xph)

Detailed syntax breakdown of Axiom ax-6
StepHypRef Expression
1 wph . . . 4 wff ph
2 vx . . . 4 set x
31, 2wal 956 . . 3 wff A.xph
43wn 2 . 2 wff -. A.xph
54, 2wal 956 . 2 wff A.x -. A.xph
64, 5wi 3 1 wff (-. A.xph -> A.x -. A.xph)
Colors of variables: wff set class
This axiom is referenced by:  ax5o 976  ax6o 979
Copyright terms: Public domain