The EP in an oval is standard proof for barrels "completely finished inside and outside, except the last internal polishing". Pressure is listed as 14,200 psi. However, that's based on information back when they were still measuring pressure with lead crushers (LUP in some older reloading manuals) rather than electronic transducers, which is the current method. So it's more like 15,000+ psi. The mark repeated twice on each side of the flats is definitive black powder proof for a gun in a finished state. Special proof because it's repeated: 11,400 psi (which would again be 12,000+ the way we currently measure pressure).

Canonnier a Paris means barrelmaker in Paris. Leopold Bernard was probably the premier French barrelmaker back then.

What I don't see is a star over P plus another letter, which would indicate the type of smokeless powder used in the proof. Should be there, according to my source, for a gun any newer than about 1896. Not sure why it's not there. Anyone else?

It does look like a nice gun in very good condition, albeit a bit plain considering it's #2 of a pair.