Commit 2024-05-05 12:47 f98db542
View on Github →feat: add HasSum f a → HasProd (exp ∘ f) (exp a)
(#12635)
This adds lemmas saying that HasSum f a
implies HasProd (exp ∘ f) (exp a)
for exp = rexp, cexp, NormedSpace.exp
.
While the rexp
and cexp
versions could be deduced from the NormedSpace.exp
one, we give a direct proof (and so avoid needing to import stuff about NormedSpace.exp
for these results; the proofs are also a bit faster that way).
Based on the discussion below, this also renames Filter.Tendsto.exp
to Filter.Tendsto.rexp
for the version specific to the real exponential function, so that Filter.Tendsto.exp
can be used for the corresponding statement involving NormedSpace.exp
.
See here on Zulip.