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Theorem ax6er 32945
Description: Commuted form of ax6e 2286. (Could be placed right after ax6e 2286). (Contributed by BJ, 15-Sep-2018.)
Assertion
Ref Expression
ax6er 𝑥 𝑦 = 𝑥

Proof of Theorem ax6er
StepHypRef Expression
1 ax6e 2286 . 2 𝑥 𝑥 = 𝑦
2 equcomi 1990 . 2 (𝑥 = 𝑦𝑦 = 𝑥)
31, 2eximii 1804 1 𝑥 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  wex 1744
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1762  ax-4 1777  ax-5 1879  ax-6 1945  ax-7 1981  ax-12 2087  ax-13 2282
This theorem depends on definitions:  df-bi 197  df-an 385  df-ex 1745
This theorem is referenced by:  exlimiieq2  32947
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