@@ -36,9 +36,9 @@ point of view are in the `ZLattice` namespace.
3636 `ℤ`-module
3737* `ZLattice.rank`: a `ℤ`-submodule of `E` that is discrete and spans `E` over `K` is free
3838 of `ℤ`-rank equal to the `K`-rank of `E`
39- * `ZLattice.comap`: for `e : E → F ` a linear map and `L : Submodule ℤ E`, define the pullback of
40- `L` by `e`. If `L` is a `IsZLattice` and `e` is a continuous linear equiv, then it is also a
41- `IsZLattice`, see `instIsZLatticeComap`.
39+ * `ZLattice.comap`: for `e : F → E ` a linear map and `L : Submodule ℤ E`, `L.comap e` is the
40+ `Submodule ℤ F` that is the pullback of ` L` by `e`. If `IsZLattice L` and `e` is a continuous
41+ linear equiv, then it is a `IsZLattice` of `F `, see `instIsZLatticeComap`.
4242
4343 ## Note
4444
@@ -691,9 +691,9 @@ section comap
691691variable (K : Type *) [NormedField K] {E F : Type *} [NormedAddCommGroup E] [NormedSpace K E]
692692 [NormedAddCommGroup F] [NormedSpace K F] (L : Submodule ℤ E)
693693
694- /-- Let `e : E → F ` a linear map, the map that sends a `L : Submodule ℤ E` to the
694+ /-- For `e : F → E ` a linear map and `L : Submodule ℤ E`, `L.comap e` is the
695695`Submodule ℤ F` that is the pullback of `L` by `e`. If `IsZLattice L` and `e` is a continuous
696- linear equiv, then it is a `IsZLattice` of `E `, see `instIsZLatticeComap`. -/
696+ linear equiv, then it is a `IsZLattice` of `F `, see `instIsZLatticeComap`. -/
697697protected def ZLattice.comap (e : F →ₗ[K] E) := L.comap (e.restrictScalars ℤ)
698698
699699@[simp]
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