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Theorem ax7v1 1998
Description: First of two weakened versions of ax7v 1997, with an extra disjoint variable condition on 𝑥, 𝑧, see comments there. (Contributed by BJ, 7-Dec-2020.)
Ref Expression
ax7v1 (𝑥 = 𝑦 → (𝑥 = 𝑧𝑦 = 𝑧))
Distinct variable groups:   𝑥,𝑦   𝑥,𝑧

Proof of Theorem ax7v1
StepHypRef Expression
1 ax7v 1997 1 (𝑥 = 𝑦 → (𝑥 = 𝑧𝑦 = 𝑧))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-7 1996
This theorem is referenced by:  equid  2000  ax7  2004  ax13  2349  dtru  5169  sn-dtru  38662
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