Metamath Proof Explorer


Theorem equeuclr

Description: Commuted version of equeucl (equality is left-Euclidean). (Contributed by BJ, 12-Apr-2021)

Ref Expression
Assertion equeuclr x=zy=zy=x

Proof

Step Hyp Ref Expression
1 equtrr z=xy=zy=x
2 1 equcoms x=zy=zy=x