Theorem reseq1i

Description: Equality inference for restrictions. (Contributed by NM, 21-Oct-2014)

	Ref	Expression
Hypothesis	reseqi.1	|- A = B
Assertion	reseq1i	|- ( A |` C ) = ( B |` C )

Proof

Step	Hyp	Ref	Expression
1		reseqi.1	|- A = B
2		reseq1	|- ( A = B -> ( A |` C ) = ( B |` C ) )
3	1 2	ax-mp	|- ( A |` C ) = ( B |` C )