Hydroxyalkyl hydroxy-aromatic condensation products as fuel and lubricant additives

A post-treated product made by a process which comprises reacting a mono- or polyhydric alcohol, an epoxide, a C.sub.1 -.sub.30 monoamine, or a polyamine of the formula ##STR19## wherein each A is independently a hydrogen atom, a hydrocarbyl group of up to 30 carbon atoms or a hydroxy-substituted hydrocarbyl group of up to about ten carbon atoms containing one or two hydroxy groups, "Alkylene" is a divalent alkylene group of about one to ten carbon atoms and a is an average of integers between one and ten, and mixtures thereof, with a condensation product made by the process comprising reacting (A) at least one alpha hydroxy aromatic compound of the general formula ##STR20## wherein Ar is a hydrocarbyl aromatic nucleus of 6 to about 30 carbon atoms, or an analog of such an aromatic nucleus substituted with 1 to 3 lower alkoxy, lower alkylthio, chloro, or nitro substituents, each R is a nonfused hydrocarbyl group of about 25 to about 700 carbon atoms, each R' is independently a hydrogen atom, an alkyl group of 1 to 36 carbon atoms, or a halogen-substituted alkyl group of 1 to about 36 carbon atoms, n is 1 to 3 and m is 1 to 5 with the provisos that (i) the total number of carbon atoms in the R' groups does not exceed 36 and (ii) where m exceeds 1, one of the R groups can also be a ##STR21## group, with (B) at least one hydrocarbyl, alpha-beta olefinically unsaturated compound selected from the group consisting of C.sub.2 -.sub.40 nitriles, C.sub.2 -.sub.40 carboxylic acids and anhydrides, esters, amides and ammonium and metal salts of said C.sub.2 -.sub.40 carboxylic acids, the reaction of (A) with (B) resulting in the formation of carbon-to-carbon bond, said bond including the carbon of at least one ##STR22## group.