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Theorem ax12v 1926
Description: A weaker version of ax-12 1925 with distinct variable restrictions on pairs x, z and y, z. In order to show that this weakening is adequate, this should be the only theorem referencing ax-12 1925 directly. (Contributed by NM, 30-Jun-2016.)
Ref Expression
ax12v x = y → (y = zx y = z))
Distinct variable groups:   x,z   y,z

Proof of Theorem ax12v
StepHypRef Expression
1 ax-12 1925 1 x = y → (y = zx y = z))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wal 1540
This theorem was proved from axioms:  ax-12 1925
This theorem is referenced by:  ax12o  1934
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