Axiom ax-9d1 2297

Description: Distinct variable version of ax9 1949, equal variables case. (Contributed by Mario Carneiro, 14-Aug-2015.)

Assertion

Ref	Expression
ax-9d1	⊢ ¬ ∀x ¬ x = x

Detailed syntax breakdown of Axiom ax-9d1

Step	Hyp	Ref	Expression
1		vx	. . . . 5 setvar x
2	1, 1	weq 1643	. . . 4 wff x = x
3	2	wn 3	. . 3 wff ¬ x = x
4	3, 1	wal 1540	. 2 wff ∀x ¬ x = x
5	4	wn 3	1 wff ¬ ∀x ¬ x = x

This axiom is referenced by: (None)