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Axiom ax-9d2 32306
Description: Distinct variable version of ax-6 1961, distinct variables case. (Contributed by Mario Carneiro, 14-Aug-2015.)
Assertion
Ref Expression
ax-9d2 ¬ ∀𝑥 ¬ 𝑥 = 𝑦
Distinct variable group:   𝑥,𝑦

Detailed syntax breakdown of Axiom ax-9d2
StepHypRef Expression
1 vx . . . . 5 setvar 𝑥
2 vy . . . . 5 setvar 𝑦
31, 2weq 1955 . . . 4 wff 𝑥 = 𝑦
43wn 3 . . 3 wff ¬ 𝑥 = 𝑦
54, 1wal 1526 . 2 wff 𝑥 ¬ 𝑥 = 𝑦
65wn 3 1 wff ¬ ∀𝑥 ¬ 𝑥 = 𝑦
Colors of variables: wff setvar class
This axiom is referenced by: (None)
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