Metamath Proof Explorer


Theorem bj-xtageq

Description: The products of a given class and the tagging of either of two equal classes are equal. (Contributed by BJ, 6-Apr-2019)

Ref Expression
Assertion bj-xtageq ⊢ A = B → C × tag A = C × tag B

Proof

Step Hyp Ref Expression
1 bj-tageq ⊢ A = B → tag A = tag B
2 1 xpeq2d ⊢ A = B → C × tag A = C × tag B