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[Merged by Bors] - feat(data/finsum): sums over sets and types with no finiteness hypotheses#6355
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digama0
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digama0
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digama0
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eric-wieser
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| /-- A more general version of `finprod_mem_hom` that requires `s ∩ mul_support f` and instead of | ||
| `s` to be finite. -/ | ||
| @[to_additive] lemma finprod_mem_hom' {f : α → M} (g : M →* N) (h₀ : (s ∩ mul_support f).finite) : | ||
| ∏ᶠ i ∈ s, (g (f i)) = g (∏ᶠ j ∈ s, f j) := | ||
| begin | ||
| rw [finprod_mem_def, mul_indicator_comp_of_one g.map_one, finprod_hom, finprod_mem_def], | ||
| rwa mul_support_mul_indicator | ||
| end |
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For finset.prod we call this monoid_hom.map_prod and flip the direction of the equality. I think it would make sense to do the same thing here, and call it monoid_hom.map_finprod_mem'?
eric-wieser
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b-mehta
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This will help us add `finprod` in #6355
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kim-em
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Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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…eses (#6355) This rather large PR is mostly work of Jason KY. It is all an API for `finsum` and `finsum_in`, sums over sets with no finiteness assumption, and which return zero if the sum is infinite. Co-authored-by: Kexing <kexing.ying19@imperial.ac.uk>
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This rather large PR is mostly work of Jason KY. It is all an API for
finsumandfinsum_in, sums over sets with no finiteness assumption, and which return zero if the sum is infinite.function.mul_support#6791 multiplicative support