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Mathlib/Algebra/Module/ZLattice/Basic.lean

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@@ -36,9 +36,9 @@ point of view are in the `ZLattice` namespace.
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`ℤ`-module
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* `ZLattice.rank`: a `ℤ`-submodule of `E` that is discrete and spans `E` over `K` is free
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of `ℤ`-rank equal to the `K`-rank of `E`
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* `ZLattice.comap`: for `e : EF` a linear map and `L : Submodule ℤ E`, define the pullback of
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`L` by `e`. If `L` is a `IsZLattice` and `e` is a continuous linear equiv, then it is also a
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`IsZLattice`, see `instIsZLatticeComap`.
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* `ZLattice.comap`: for `e : FE` a linear map and `L : Submodule ℤ E`, `L.comap e` is the
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`Submodule ℤ F` that is the pullback of `L` by `e`. If `IsZLattice L` and `e` is a continuous
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linear equiv, then it is a `IsZLattice` of `F`, see `instIsZLatticeComap`.
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## Note
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@@ -691,9 +691,9 @@ section comap
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variable (K : Type*) [NormedField K] {E F : Type*} [NormedAddCommGroup E] [NormedSpace K E]
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[NormedAddCommGroup F] [NormedSpace K F] (L : Submodule ℤ E)
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/-- Let `e : EF` a linear map, the map that sends a `L : Submodule ℤ E` to the
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/-- For `e : FE` a linear map and `L : Submodule ℤ E`, `L.comap e` is the
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`Submodule ℤ F` that is the pullback of `L` by `e`. If `IsZLattice L` and `e` is a continuous
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linear equiv, then it is a `IsZLattice` of `E`, see `instIsZLatticeComap`. -/
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linear equiv, then it is a `IsZLattice` of `F`, see `instIsZLatticeComap`. -/
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protected def ZLattice.comap (e : F →ₗ[K] E) := L.comap (e.restrictScalars ℤ)
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@[simp]

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