Theorem rneqi

Description: Equality inference for range. (Contributed by NM, 4-Mar-2004)

	Ref	Expression
Hypothesis	rneqi.1	⊢ 𝐴 = 𝐵
Assertion	rneqi	⊢ ran 𝐴 = ran 𝐵

Proof

Step	Hyp	Ref	Expression
1		rneqi.1	⊢ 𝐴 = 𝐵
2		rneq	⊢ ( 𝐴 = 𝐵 → ran 𝐴 = ran 𝐵 )
3	1 2	ax-mp	⊢ ran 𝐴 = ran 𝐵