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Theorem ax9v1 2124
Description: First of two weakened versions of ax9v 2123, with an extra disjoint variable condition on 𝑥, 𝑧, see comments there. (Contributed by BJ, 7-Dec-2020.)
Assertion
Ref Expression
ax9v1 (𝑥 = 𝑦 → (𝑧𝑥𝑧𝑦))
Distinct variable groups:   𝑥,𝑦   𝑥,𝑧

Proof of Theorem ax9v1
StepHypRef Expression
1 ax9v 2123 1 (𝑥 = 𝑦 → (𝑧𝑥𝑧𝑦))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-9 2122
This theorem is referenced by:  ax9  2126  sn-el  39399  sn-dtru  39400
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