ax-9d1 - Mathbox for Mario Carneiro

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Axiom ax-9d1 35166

Description: Distinct variable version of ax-6 1967, 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 1962	. . . 4 wff 𝑥 = 𝑥
3	2	wn 3	. . 3 wff ¬ 𝑥 = 𝑥
4	3, 1	wal 1538	. 2 wff ∀𝑥 ¬ 𝑥 = 𝑥
5	4	wn 3	1 wff ¬ ∀𝑥 ¬ 𝑥 = 𝑥

Colors of variables: wff setvar class

This axiom is referenced by: (None)