Commit 2021-02-04 21:33 d2938225
View on Github →feat(topology/algebra/infinite_sum, topology/instances/ennreal): extend tsum API (#6017)
Lemma tsum_lt_of_nonneg
shows that if a sequence f
with non-negative terms is dominated by a sequence g
with summable series and at least one term of f
is strictly smaller than the corresponding term in g
, then the series of f
is strictly smaller than the series of g
.
Besides this lemma, I also added the relevant API in topology.algebra.infinite_sum.