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[Merged by Bors] - Feat: add lemmas about Sum
#1583
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Forward-ported to Mathlib 4 in leanprover-community/mathlib4#1583
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LGTM! I think the convention with #align nowadays is no blank line beforehand.
Co-authored-by: Kevin Buzzard <k.buzzard@imperial.ac.uk>
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This is the Lean 4 version of leanprover-community/mathlib#18184
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This is the Lean 4 version of leanprover-community/mathlib#18184
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This is the Lean 4 version of leanprover-community/mathlib#18184
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Feat: add lemmas about
[Merged by Bors] - Feat: add lemmas about Jan 25, 2023
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Update some SHAs of files that changed in mathlib3. These 17 files need mainly only updated SHA as they've been only touched by backports or already have been forward-ported. The relevant changes are: * [Algebra.Group.Defs (#17884)](https://leanprover-community.github.io/mathlib-port-status/file/algebra/group/defs?range=41cf0cc2f528dd40a8f2db167ea4fb37b8fde7f3..2e0975f6a25dd3fbfb9e41556a77f075f6269748) * #945 * [Algebra.Group.WithOne.Defs (#18081)](https://leanprover-community.github.io/mathlib-port-status/file/algebra/group/with_one/defs?range=e574b1a4e891376b0ef974b926da39e05da12a06..995b47e555f1b6297c7cf16855f1023e355219fb) * #1439 * [Algebra.Module.Submodule.Basic (#18291) : backport](https://leanprover-community.github.io/mathlib-port-status/file/algebra/module/submodule/basic?range=f7fc89d5d5ff1db2d1242c7bb0e9062ce47ef47c..feb99064803fd3108e37c18b0f77d0a8344677a3) * [Algebra.Order.Monoid.WithTop (#18149, #18081)](https://leanprover-community.github.io/mathlib-port-status/file/algebra/order/monoid/with_top?range=2258b40dacd2942571c8ce136215350c702dc78f..e7e2ba8aa216a5833b5ed85a93317263711a36b5) * #1508 * #1439 * [Algebra.Order.Ring.WithTop (#18149, #18081)](https://leanprover-community.github.io/mathlib-port-status/file/algebra/order/ring/with_top?range=550b58538991c8977703fdeb7c9d51a5aa27df11..e7e2ba8aa216a5833b5ed85a93317263711a36b5) * #1508 * #1439 * [Data.Finset.NAry (#18081)](https://leanprover-community.github.io/mathlib-port-status/file/data/finset/n_ary?range=9003f28797c0664a49e4179487267c494477d853..995b47e555f1b6297c7cf16855f1023e355219fb) * #1439 * [Data.Option.NAry (#18081)](https://leanprover-community.github.io/mathlib-port-status/file/data/option/n_ary?range=2258b40dacd2942571c8ce136215350c702dc78f..995b47e555f1b6297c7cf16855f1023e355219fb) * #1439 * [Data.Set.NAry (#18081)](https://leanprover-community.github.io/mathlib-port-status/file/data/set/n_ary?range=2ed7e4aec72395b6a7c3ac4ac7873a7a43ead17c..995b47e555f1b6297c7cf16855f1023e355219fb) * #1439 * [Data.SetLike.Basic (#18291) : backport](https://leanprover-community.github.io/mathlib-port-status/file/data/set_like/basic?range=fc2ed6f838ce7c9b7c7171e58d78eaf7b438fb0e..feb99064803fd3108e37c18b0f77d0a8344677a3) * [Data.Sum.Basic (#18184)](https://leanprover-community.github.io/mathlib-port-status/file/data/sum/basic?range=d6aae1bcbd04b8de2022b9b83a5b5b10e10c777d..f4ecb599422baaf39055d8278c7d9ef3b5b72b88) * #1583 * [GroupTheory.GroupAction.SubMulAction (#18291) : backport](https://leanprover-community.github.io/mathlib-port-status/file/group_theory/group_action/sub_mul_action?range=f93c11933efbc3c2f0299e47b8ff83e9b539cbf6..feb99064803fd3108e37c18b0f77d0a8344677a3) * [GroupTheory.Submonoid.Basic (#18291) : backport](https://leanprover-community.github.io/mathlib-port-status/file/group_theory/submonoid/basic?range=207cfac9fcd06138865b5d04f7091e46d9320432..feb99064803fd3108e37c18b0f77d0a8344677a3) * [ Logic.Basic (#18291): backport](https://leanprover-community.github.io/mathlib-port-status/file/logic/basic?range=1c521b4fb909320eca16b2bb6f8b5b0490b1cb5e..feb99064803fd3108e37c18b0f77d0a8344677a3) * #1509 * [Order.InitialSeg (#18198): backport](https://leanprover-community.github.io/mathlib-port-status/file/order/initial_seg?range=ee0c179cd3c8a45aa5bffbf1b41d8dbede452865..7c3269ca3fa4c0c19e4d127cd7151edbdbf99ed4) * [Order.RelClasses (#17957)](https://leanprover-community.github.io/mathlib-port-status/file/order/rel_classes?range=c4658a649d216f57e99621708b09dcb3dcccbd23..bc7d81beddb3d6c66f71449c5bc76c38cb77cf9e) * #1047 * [Order.WithBot (#18081)](https://leanprover-community.github.io/mathlib-port-status/file/order/with_bot?range=70d50ecfd4900dd6d328da39ab7ebd516abe4025..995b47e555f1b6297c7cf16855f1023e355219fb) * #1439 * [RingTheory.Subsemiring.Basic (#18291) : backport](https://leanprover-community.github.io/mathlib-port-status/file/ring_theory/subsemiring/basic?range=f93c11933efbc3c2f0299e47b8ff83e9b539cbf6..feb99064803fd3108e37c18b0f77d0a8344677a3) Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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This is the Lean 4 version of leanprover-community/mathlib#18184