Metamath Proof Explorer


Theorem equtr

Description: A transitive law for equality. (Contributed by NM, 23-Aug-1993)

Ref Expression
Assertion equtr ⊢ x = y → y = z → x = z

Proof

Step Hyp Ref Expression
1 ax7 ⊢ y = x → y = z → x = z
2 1 equcoms ⊢ x = y → y = z → x = z