Theorem reseq1i

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

	Ref	Expression
Hypothesis	reseqi.1	$$⊢A=B$$
Assertion	reseq1i	$$⊢{A\upharpoonright }_C={B\upharpoonright }_C$$

Proof

Step	Hyp	Ref	Expression
1		reseqi.1	$$⊢A=B$$
2		reseq1	$$⊢A=B\to {A\upharpoonright }_C={B\upharpoonright }_C$$
3	1 2	ax-mp	$$⊢{A\upharpoonright }_C={B\upharpoonright }_C$$