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Theorem ax8v1 2116
Description: First of two weakened versions of ax8v 2115, with an extra disjoint variable condition on 𝑥, 𝑧, see comments there. (Contributed by BJ, 7-Dec-2020.)
Ref Expression
ax8v1 (𝑥 = 𝑦 → (𝑥𝑧𝑦𝑧))
Distinct variable groups:   𝑥,𝑦   𝑥,𝑧

Proof of Theorem ax8v1
StepHypRef Expression
1 ax8v 2115 1 (𝑥 = 𝑦 → (𝑥𝑧𝑦𝑧))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-8 2114
This theorem is referenced by:  ax8  2118  bj-cleljusti  34121
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