Histone methyltransferase that specifically monomethylates 'Lys-4' of histone H3. H3 'Lys-4' methylation represents a specific tag for epigenetic transcriptional activation. Plays a central role in the transcriptional activation of genes. Has also methyltransferase activity toward non-histone proteins. L-lysyl(4)-[histone H3] + S-adenosyl-L-methionine = H(+) + N(6)-methyl-L-lysyl(4)-[histone H3] + S-adenosyl-L-homocysteine Belongs to the class V-like SAM-binding methyltransferase superfamily. Histone-lysine methyltransferase family. SET7 subfamily.