RNE and Carteira de Identidade Estrangeiro

I almost was in the  same situation except it turned out the wallet fell in behind the sofa and didn't lose my CIE after all.  In Manaus they are supposed to accept the passport and the letter stating the loss by the civil police after paying the fee. However they required one extra  step that I visit the consular office of the US and get a consular letter from them proving my passport is mine and I am who I say I am, even though the passport is supposed to be accepted for Identity. Be prepared they may ask for it if you live in Manaus according to the website it isn't required,  but here they make up rules as they go along.  My advice is once you get it replaced opt to have a duplicate issued they will do it for a fee and you will have a second usable copy in case disaster happens again.  Yes it is expensive to replace the card the replacement being more expensive than getting it originally issued.