Theorem reseq12i

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

	Ref	Expression
Hypotheses	reseqi.1	|- A = B
	reseqi.2	|- C = D
Assertion	reseq12i	|- ( A |` C ) = ( B |` D )

Proof

Step	Hyp	Ref	Expression
1		reseqi.1	|- A = B
2		reseqi.2	|- C = D
3	1	reseq1i	|- ( A |` C ) = ( B |` C )
4	2	reseq2i	|- ( B |` C ) = ( B |` D )
5	3 4	eqtri	|- ( A |` C ) = ( B |` D )