Metamath Proof Explorer


Theorem qseq2i

Description: Equality theorem for quotient set, inference form. (Contributed by Peter Mazsa, 3-Jun-2021)

Ref Expression
Hypothesis qseq2i.1 ⊢ A = B
Assertion qseq2i ⊢ C / A = C / B

Proof

Step Hyp Ref Expression
1 qseq2i.1 ⊢ A = B
2 qseq2 ⊢ A = B → C / A = C / B
3 1 2 ax-mp ⊢ C / A = C / B