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feat(RingTheory): Picard group of a domain is isomorphic to ClassGroup (leanprover-community#30736)
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Mathlib/Algebra/Algebra/Operations.lean

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@@ -734,6 +734,8 @@ theorem mker_spanSingleton :
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/-- Exactness of the sequence `1 → Rˣ → Aˣ → (Submodule R A)ˣ → Pic R → Pic A` at `Aˣ`.
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See Exercise I.3.7(iv) in [Weibel2013] or Theorem 2.4 in [RobertsSingh1993]. -/
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/- Note: `assert_not_exists Submodule.hasQuotient` in `Mathlib.RingTheory.Ideal.Operations`
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forbids importing `Function.MulExact` into this file. -/
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theorem ker_unitsMap_spanSingleton :
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(Units.map (Submodule.spanSingleton R).toMonoidHom).ker =
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(Units.map (algebraMap R A).toMonoidHom).range := by

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