Theorem qseq1i

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

	Ref	Expression
Hypothesis	qseq1i.1	$$⊢A=B$$
Assertion	qseq1i	$$⊢A/C=B/C$$

Proof

Step	Hyp	Ref	Expression
1		qseq1i.1	$$⊢A=B$$
2		qseq1	$$⊢A=B\to A/C=B/C$$
3	1 2	ax-mp	$$⊢A/C=B/C$$