[Merged by Bors] - feat(Algebra/Order/BigOperators): prove lemmas for List.prod and Multiset.prod on CommMonoidWithZero

[Command-Master]

Also relax typeclass assumptions on prod_nonneg.

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[github-actions]

PR summary 1b8f9bd0a8

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Algebra.Order.BigOperators.GroupWithZero.List	383
Mathlib.Algebra.Order.BigOperators.GroupWithZero.Multiset	402

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Declarations diff

+ CanonicallyOrderedCommSemiring.list_prod_pos
+ CanonicallyOrderedCommSemiring.multiset_prod_pos
++ one_le_prod
++ prod_map_le_prod_map₀
++ prod_map_lt_prod_map
- _root_.CanonicallyOrderedCommSemiring.list_prod_pos
- _root_.CanonicallyOrderedCommSemiring.multiset_prod_pos
-++ prod_nonneg
-++ prod_pos

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

[YaelDillies]

Those lemmas now look misplaced. Can you move them to a new file Algebra.Order.BigOperators.GroupWithZero?

[Command-Master]

Those lemmas now look misplaced. Can you move them to a new file Algebra.Order.BigOperators.GroupWithZero?

The corresponding lemmas for Finset are also in Ring, for instance Finset.prod_nonneg

[YaelDillies]

That is an oversight. They should be moved too (although no need for you to do it in the current PR)

[YaelDillies]

Thanks :)

maintainer merge

[github-actions]

🚀 Pull request has been placed on the maintainer queue by YaelDillies.

[kim-em]

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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