P. quadridentatus Pseudaelurus is a prehistoric cat that lived in Europe, Asia and North America in the Miocene between approximately twenty and eight million years ago.

It is considered to be a paraphyletic grade ancestral to living felines and pantherines as well as the extinct machairodonts (saber-tooths), and is a successor to Proailurus.

It originated from Eurasia and was the first cat to reach North America, when it entered the continent at about 18.5 Ma ending a 'cat-gap' of 7 million years.

[2] Traditionally, all the Pseudaelurus-grade species from Europe, Asia, and North America have been assigned to a single genus, even though the paraphyletic nature of the group has often been noted.

[8] In 1843, the paleontologist H.M. de Blainville published a description of a felid cranium and lower jaw fragment from Sansan, France.

The cranium was later reassigned to another species, but in 1850 the lower jaw fragment was assigned to a new genus by Paul Gervais as Pseudaelurus quadridentatus, due to having certain primitive features.

[2] In 1998, while measuring fragmentary fossils from the Hsanda-Gol locality in Mongolia, Robert Hunt referred a lower jaw fragment to Proailurus sp.

; while this was reassigned to the nimravid genus Eofelis in 1999 instead, a 2004 review of felid material from other localities in Mongolia suggested that it could belong to Pseudaelurus cuspidatus instead, on basis of having similar features.

†Proailurus bourbonnensis †Proailurus lemanensis †Proailurus major †Pseudaelurus quadridentatus †Pseudaelurus cuspidatus †Pseudaelurus guangheensis †Machairodontinae †Hyperailurictis intrepidus †Hyperailurictis marshi †Hyperailurictis stouti †Hyperailurictis validus †Hyperailurictis skinneri †Sivaelurus chinjiensis †Styriofelis turnauensis †Styriofelis romieviensis Felinae †Miopanthera lorteti †Miopanthera pamiri Pantherinae