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Theorem ax6evr 1940
Description: A commuted form of ax6ev 1888. (Contributed by BJ, 7-Dec-2020.)
Assertion
Ref Expression
ax6evr 𝑥 𝑦 = 𝑥
Distinct variable group:   𝑥,𝑦

Proof of Theorem ax6evr
StepHypRef Expression
1 ax6ev 1888 . 2 𝑥 𝑥 = 𝑦
2 equcomiv 1939 . 2 (𝑥 = 𝑦𝑦 = 𝑥)
31, 2eximii 1762 1 𝑥 𝑦 = 𝑥
Colors of variables: wff setvar class
Syntax hints:  wex 1702
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1720  ax-4 1735  ax-5 1837  ax-6 1886  ax-7 1933
This theorem depends on definitions:  df-bi 197  df-ex 1703
This theorem is referenced by:  ax7  1941  equviniva  1958  ax12v2  2047  ax12vOLD  2048  19.8a  2050  axc11n  2305  euequ1  2474  relopabi  5234  relop  5261  bj-ax6e  32628  axc11n11r  32648  wl-spae  33277
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