chore: add module deprecations for files moved out of Data (#40256)

Follow-up to #39984 and its dependencies.

Author: grunweg

Mathlib.lean

@@ -3860,6 +3860,7 @@ public import Mathlib.Data.Fin.Tuple.Take
 public import Mathlib.Data.Fin.VecNotation
 public import Mathlib.Data.FinEnum
 public import Mathlib.Data.FinEnum.Option
+public import Mathlib.Data.Finite.Card
 public import Mathlib.Data.Finite.Defs
 public import Mathlib.Data.Finite.Perm
 public import Mathlib.Data.Finite.Prod
@@ -3978,6 +3979,7 @@ public import Mathlib.Data.Fintype.Shrink
 public import Mathlib.Data.Fintype.Sigma
 public import Mathlib.Data.Fintype.Sort
 public import Mathlib.Data.Fintype.Sum
+public import Mathlib.Data.Fintype.Units
 public import Mathlib.Data.Fintype.Vector
 public import Mathlib.Data.Fintype.WithTopBot
 public import Mathlib.Data.FunLike.Basic
@@ -4090,14 +4092,19 @@ public import Mathlib.Data.List.TakeWhile
 public import Mathlib.Data.List.ToFinsupp
 public import Mathlib.Data.List.Triplewise
 public import Mathlib.Data.List.Zip
+public import Mathlib.Data.Matrix.Action
 public import Mathlib.Data.Matrix.Auto
 public import Mathlib.Data.Matrix.Basic
 public import Mathlib.Data.Matrix.Basis
+public import Mathlib.Data.Matrix.Bilinear
 public import Mathlib.Data.Matrix.Block
+public import Mathlib.Data.Matrix.Cartan
 public import Mathlib.Data.Matrix.ColumnRowPartitioned
 public import Mathlib.Data.Matrix.Composition
 public import Mathlib.Data.Matrix.DMatrix
 public import Mathlib.Data.Matrix.Diagonal
+public import Mathlib.Data.Matrix.DualNumber
+public import Mathlib.Data.Matrix.Invertible
 public import Mathlib.Data.Matrix.Mul
 public import Mathlib.Data.Matrix.PEquiv
 public import Mathlib.Data.Matrix.Reflection
@@ -4273,6 +4280,7 @@ public import Mathlib.Data.QPF.Multivariate.Constructions.Sigma
 public import Mathlib.Data.QPF.Univariate.Basic
 public import Mathlib.Data.Quot
 public import Mathlib.Data.Rat.BigOperators
+public import Mathlib.Data.Rat.Cardinal
 public import Mathlib.Data.Rat.Cast.CharZero
 public import Mathlib.Data.Rat.Cast.Defs
 public import Mathlib.Data.Rat.Cast.Lemmas
@@ -4285,16 +4293,21 @@ public import Mathlib.Data.Rat.Floor
 public import Mathlib.Data.Rat.Init
 public import Mathlib.Data.Rat.Lemmas
 public import Mathlib.Data.Rat.NatSqrt.Defs
+public import Mathlib.Data.Rat.NatSqrt.Real
 public import Mathlib.Data.Rat.Sqrt
 public import Mathlib.Data.Rat.Star
+public import Mathlib.Data.Real.Archimedean
 public import Mathlib.Data.Real.Basic
 public import Mathlib.Data.Real.CompleteField
 public import Mathlib.Data.Real.ConjExponents
 public import Mathlib.Data.Real.ENatENNReal
 public import Mathlib.Data.Real.Embedding
+public import Mathlib.Data.Real.Hom
 public import Mathlib.Data.Real.Pointwise
 public import Mathlib.Data.Real.Sign
+public import Mathlib.Data.Real.Sqrt
 public import Mathlib.Data.Real.Star
+public import Mathlib.Data.Real.StarOrdered
 public import Mathlib.Data.Rel
 public import Mathlib.Data.Rel.Cover
 public import Mathlib.Data.Rel.Separated

Mathlib/Data/Finite/Card.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.SetTheory.Cardinal.NatCard
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Fintype/Units.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.Algebra.GroupWithZero.Units.Fintype
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Matrix/Action.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.LinearAlgebra.Matrix.Action
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Matrix/Bilinear.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.LinearAlgebra.Matrix.Bilinear
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Matrix/Cartan.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.LinearAlgebra.Matrix.Cartan
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Matrix/DualNumber.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.LinearAlgebra.Matrix.DualNumber
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Matrix/Invertible.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.LinearAlgebra.Matrix.Invertible
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Rat/Cardinal.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.SetTheory.Cardinal.Rat
+
+deprecated_module (since := "2026-06-05")

Mathlib/Data/Rat/NatSqrt/Real.lean

@@ -0,0 +1,5 @@
+module
+
+public import Mathlib.Analysis.Rat.NatSqrt.Real
+
+deprecated_module (since := "2026-05-29")