Metamath Proof Explorer


Theorem ax6evr

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

Ref Expression
Assertion ax6evr ⊢ ∃ x y = x

Proof

Step Hyp Ref Expression
1 ax6ev ⊢ ∃ x x = y
2 equcomiv ⊢ x = y → y = x
3 1 2 eximii ⊢ ∃ x y = x