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Axiom ax-8d 2296
Description: Distinct variable version of ax-8 1675. (Contributed by Mario Carneiro, 14-Aug-2015.)
Assertion
Ref Expression
ax-8d (x = y → (x = zy = z))
Distinct variable group:   x,y,z

Detailed syntax breakdown of Axiom ax-8d
StepHypRef Expression
1 vx . . 3 setvar x
2 vy . . 3 setvar y
31, 2weq 1643 . 2 wff x = y
4 vz . . . 4 setvar z
51, 4weq 1643 . . 3 wff x = z
62, 4weq 1643 . . 3 wff y = z
75, 6wi 4 . 2 wff (x = zy = z)
83, 7wi 4 1 wff (x = y → (x = zy = z))
Colors of variables: wff setvar class
This axiom is referenced by: (None)
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