Pokemon fainted are dead and boxed FOREVER
Catch any number of pokemon on one route, but they must all be within the
evolutionary line of your first encounter (knock outs do not dissallow
R.3: If any pokemon dies, you may not catch any new pokemon which shares that
one's primary type as its own, and all pokemon you currently own that have
the same primary type as the dead one are also considered dead. This rule
can dissallow captures on a route entirely, as your first encounter may share
a primary type with the dead one. No more than 16 types can be affected this
way, and the last type becomes the only primary type of pokemon you can own.
R.4: No pokemon in your active team can share a primary type.
R.5: Whenever you recieve your 5th badge, you recieve a revive option for any
single type; this revive will return all pokemon of any 1 primary type back from
dead to alive, but it still dissallows captures of that primary type, or vice versa (not reviving that type but allowing captures of that type).