Theorem ax6evr 1942

Description: A commuted form of ax6ev 1890. (Contributed by BJ, 7-Dec-2020.)

Assertion

Ref	Expression
ax6evr	|- E. x y = x

Distinct variable group:   x, y

Proof of Theorem ax6evr

Step	Hyp	Ref	Expression
1		ax6ev 1890	. 2 |- E. x x = y
2		equcomiv 1941	. 2 |- ( x = y -> y = x )
3	1, 2	eximii 1764	1 |- E. x y = x

Syntax hints:   E.wex 1704

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935

This theorem depends on definitions:  df-bi 197  df-ex 1705

This theorem is referenced by:  ax7  1943  equviniva  1960  ax12v2  2049  ax12vOLD  2050  19.8a  2052  axc11n  2307  euequ1  2476  relopabi  5245  relop  5272  bj-ax6e  32653  axc11n11r  32673  wl-spae  33306