Theorem imaeq1i

Description: Equality theorem for image. (Contributed by NM, 21-Dec-2008)

	Ref	Expression
Hypothesis	imaeq1i.1	$$⊢A=B$$
Assertion	imaeq1i	$$⊢A\left[C\right]=B\left[C\right]$$

Proof

Step	Hyp	Ref	Expression
1		imaeq1i.1	$$⊢A=B$$
2		imaeq1	$$⊢A=B\to A\left[C\right]=B\left[C\right]$$
3	1 2	ax-mp	$$⊢A\left[C\right]=B\left[C\right]$$