feat(InfiniteSum): zero function has product zero#39855
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…ero on a CommMonoidWithZero
PR summary 06a5aaf03fImport changes for modified filesNo significant changes to the import graph Import changes for all files
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plp127
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May 26, 2026
| lemma multipliable_of_exists_eq_zero (hf : ∃ b, f b = 0) [L.LeAtTop] : Multipliable f L := | ||
| ⟨0, hasProd_zero_of_exists_eq_zero hf⟩ | ||
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| lemma multipliable_zero [Nonempty β] [L.LeAtTop] : Multipliable (fun _ ↦ 0 : β → α) L := |
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This shouldn't need [Nonempty β] since you can use multipliable_empty
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Prove that in a comm monoid with zero, the product of the zero function is zero.