Commit 2021-11-28 07:21 044f5320
View on Github →chore(analysis/normed_space/hahn_banach): remove norm'
(#10527)
For a normed space over ℝ
-algebra 𝕜
, norm'
is currently defined to be algebra_map ℝ 𝕜 ∥x∥
. I believe this was introduced before the is_R_or_C
construct (including the coercion from ℝ
to 𝕜
for [is_R_or_C 𝕜]
) joined mathlib. Now that we have these things, it's easy to just say (∥x∥ : 𝕜)
instead of norm' 𝕜 ∥x∥
, so I don't really think norm'
needs to exist any more.
(In principle, norm'
is more general, since it works for all ℝ
-algebras 𝕜
rather than just [is_R_or_C 𝕜]
. But I can only really think of applications in theis_R_or_C
case, and that's the only way it's used in the library.)