Users' Mathboxes Mathbox for BJ < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  ax6er Structured version   Visualization version   GIF version

Theorem ax6er 34053
Description: Commuted form of ax6e 2392. (Could be placed right after ax6e 2392). (Contributed by BJ, 15-Sep-2018.)
Assertion
Ref Expression
ax6er 𝑥 𝑦 = 𝑥

Proof of Theorem ax6er
StepHypRef Expression
1 ax6e 2392 . 2 𝑥 𝑥 = 𝑦
2 equcomi 2015 . 2 (𝑥 = 𝑦𝑦 = 𝑥)
31, 2eximii 1828 1 𝑥 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  wex 1771
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1787  ax-4 1801  ax-5 1902  ax-6 1961  ax-7 2006  ax-12 2167  ax-13 2381
This theorem depends on definitions:  df-bi 208  df-an 397  df-ex 1772
This theorem is referenced by:  exlimiieq2  34055
  Copyright terms: Public domain W3C validator