You do not need to supply any proof of dependency.
Certain categories of relatives (among them parents, grandparents, and children over 21) are eligible for derivative freedom of movement only if they are dependent on the EEA principal. A spouse or partner is eligible without regard to the question of dependency.
Here are some relevant passages from the directive, with added emphasis for the particularly pertinent parts.
‘family member’ means:
(a) the spouse;
(b) the partner with whom the Union citizen has contracted a registered partnership, on the basis of the legislation of a Member State, if the legislation of the host Member State treats registered partnerships as equivalent to marriage and in accordance with the conditions laid down in the relevant legislation of the host Member State;
(c) the direct descendants who are under the age of 21 or are dependants and those of the spouse or partner as defined in point (b);
(d) the dependent direct relatives in the ascending line and those of the spouse or partner as defined in point (b);
This Directive shall apply to all Union citizens who move to or reside in a Member State other than that of which they are a national, and to their family members as defined in point 2 of Article 2 who accompany or join them.
Without prejudice to any right to free movement and residence the persons concerned may have in their own right, the host Member State shall, in accordance with its national legislation, facilitate entry and residence for the following persons:
(a) any other family members, irrespective of their nationality, not falling under the definition in point 2 of Article 2 who, in the country from which they have come, are dependants or members of the household of the Union citizen having the primary right of residence, or where serious health grounds strictly require the personal care of the family member by the Union citizen;
Your spouse falls under article 2(2)(a), and therefore 3(1), without reference to the question of dependency.