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=BC/A=C/B
3 1 2 ax-mp C/A=C/B