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Theorem ax6er 35003
Description: Commuted form of ax6e 2383. (Could be placed right after ax6e 2383). (Contributed by BJ, 15-Sep-2018.)
Assertion
Ref Expression
ax6er 𝑥 𝑦 = 𝑥

Proof of Theorem ax6er
StepHypRef Expression
1 ax6e 2383 . 2 𝑥 𝑥 = 𝑦
2 equcomi 2020 . 2 (𝑥 = 𝑦𝑦 = 𝑥)
31, 2eximii 1839 1 𝑥 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  wex 1782
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1913  ax-6 1971  ax-7 2011  ax-12 2171  ax-13 2372
This theorem depends on definitions:  df-bi 206  df-an 397  df-ex 1783
This theorem is referenced by:  exlimiieq2  35005
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