LATERAL query extreme slow due to partition

Hi:

I am using the wonderful lateral query feature like the following

select * from generate_series (1,100000,5) T(t),
lateral (select * from P where t between t and t + 3)

P is a parent table of a hundred partitions
the idea is to for each t value from 1 to 100000 with step of 5,
get rows from P (in one or two of its partitions) that between
the current value of t and t+3,
so each lateral select should only index scan one or two partitons
but the query plan shows that each will scan all hundred paritions,
I think due to its unable to determine the range since
the query is select * from P where t between t and t + 3
as "t" is unknown at the time of parsing.

How to force query planner "dynamically" generate plan to
for each lateral select query as "t" changes.

Thanks