[Merged by Bors] - feat(topology/continuous_function): lemmas on infinite sums of continuous functions #18424
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| /-- If `α` is locally compact, and an infinite sum of functions in `C(α, β)` | ||
| converges to `g` (for the compact-open topology), then the pointwise sum converges to `g x` for | ||
| all `x ∈ α`. -/ | ||
| lemma has_sum_apply {α : Type*} {β : Type*} {γ : Type*} |
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Is there a section you can place these in the file that already has three types with the right typeclasses?
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There wasn't, but there probably should have been (there was a long string of lemmas all repeating the declaration {α : Type*} {β : Type*} [topological_space α] [topological_space β] each time). I've streamlined it a bit.
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A lemma (in three variants) about evaluating infinite sums of continuous functions at a point. Split off from #18392.