Theorem dmqseqi

Description: Equality theorem for domain quotient, inference version. (Contributed by Peter Mazsa, 26-Sep-2021)

	Ref	Expression
Hypothesis	dmqseqi.1	⊢ 𝑅 = 𝑆
Assertion	dmqseqi	⊢ ( dom 𝑅 / 𝑅 ) = ( dom 𝑆 / 𝑆 )

Proof

Step	Hyp	Ref	Expression
1		dmqseqi.1	⊢ 𝑅 = 𝑆
2		dmqseq	⊢ ( 𝑅 = 𝑆 → ( dom 𝑅 / 𝑅 ) = ( dom 𝑆 / 𝑆 ) )
3	1 2	ax-mp	⊢ ( dom 𝑅 / 𝑅 ) = ( dom 𝑆 / 𝑆 )