An additive for a lubricating oil containing a phosphorus compound P represented by the following formula (1):

##STR00001##

wherein R.sup.1 and R.sup.2 each independently represent an alkyl group having 1 to 3 carbon atoms, and n represents an integer of 0 to 3, wherein the phosphorus compound P contains a phosphorus compound PO wherein n is 0, a phosphorus compound P1 wherein n is 1, a phosphorus compound P2 where n is 2, and a phosphorus compound P3 wherein n is 3, and a total proportion of the phosphorus compound PO and the phosphorus 10 compound P1 in the phosphorus compound P is 60% by mole or more.

An additive for a lubricating oil containing a phosphorus compound P represented by the following formula (1):

##STR00001##

wherein R.sup.1 and R.sup.2 each independently represent an alkyl group having 1 to 3 carbon atoms, and n represents an integer of 0 to 3, wherein the phosphorus compound P contains a phosphorus compound PO wherein n is 0, a phosphorus compound P1 wherein n is 1, a phosphorus compound P2 where n is 2, and a phosphorus compound P3 wherein n is 3, and a total proportion of the phosphorus compound PO and the phosphorus 10 compound P1 in the phosphorus compound P is 60% by mole or more.

A dry film lubricant composition includes: an anionic wax emulsion including carnauba wax and an anionic surfactant; water; a thickener; an organic solvent; a fluorosurfactant; a phosphate additive; and an alkaline agent.

A dry film lubricant composition includes: an anionic wax emulsion including carnauba wax and an anionic surfactant; water; a thickener; an organic solvent; a fluorosurfactant; a phosphate additive; and an alkaline agent.

An additive for a lubricating oil containing a phosphorus compound P represented by the following formula (1): ##STR00001##
wherein R.sup.1 and R.sup.2 each independently represent an alkyl group having 1 to 3 carbon atoms, and n represents an integer of 0 to 3, wherein the phosphorus compound P contains a phosphorus compound P0 wherein n is 0, a phosphorus compound P1 wherein n is 1, a phosphorus compound P2 where n is 2, and a phosphorus compound P3 wherein n is 3, and a total proportion of the phosphorus compound P0 and the phosphorus 10 compound P1 in the phosphorus compound P is 60% by mole or more.

An additive for a lubricating oil containing a phosphorus compound P represented by the following formula (1): ##STR00001##
wherein R.sup.1 and R.sup.2 each independently represent an alkyl group having 1 to 3 carbon atoms, and n represents an integer of 0 to 3, wherein the phosphorus compound P contains a phosphorus compound P0 wherein n is 0, a phosphorus compound P1 wherein n is 1, a phosphorus compound P2 where n is 2, and a phosphorus compound P3 wherein n is 3, and a total proportion of the phosphorus compound P0 and the phosphorus 10 compound P1 in the phosphorus compound P is 60% by mole or more.