mathlib4-dependent-issues-bot comments

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                                            mathlib4-dependent-issues-bot

feat(Algebra): depth of QuotSMulTop

This PR/issue depends on: * leanprover-community/mathlib4#26214 By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(Algebra): define filtered ring homomorphism

This PR/issue depends on: * leanprover-community/mathlib4#26858 * leanprover-community/mathlib4#26861 By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(LinearAlgebra/Transvection): the determinant of a transvection is equal to 1.

This PR/issue depends on: * ~~leanprover-community/mathlib4#31138~~ By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(LinearAlgebra/Transvection): auxiliary lemmas to compute the determinant of transvection in a module

This PR/issue depends on: * ~~leanprover-community/mathlib4#31164~~ * ~~leanprover-community/mathlib4#31165~~ * ~~leanprover-community/mathlib4#30987~~ * ~~leanprover-community/mathlib4#31078~~ * ~~leanprover-community/mathlib4#31162~~ By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(Homology/ModuleCat): Dimension Shifting tools in ModuleCat

This PR/issue depends on: * ~~leanprover-community/mathlib4#32312~~ By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(Probability): Rename `Adapted` to `StronglyAdapted` and add `Adapted `

This PR/issue depends on: * leanprover-community/mathlib4#33063 By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(Algebra): Define the associated graded ring to filtered ring

This PR/issue depends on: * leanprover-community/mathlib4#26857 By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(Algebra): Auslander–Buchsbaum theorem

This PR/issue depends on: * leanprover-community/mathlib4#26214 * leanprover-community/mathlib4#32316 By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat: define Sobolev Spaces

This PR/issue depends on: * leanprover-community/mathlib4#32250 By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!

feat(Measure): product of uniformly locally doubling measures

This PR/issue depends on: * ~~leanprover-community/mathlib4#33030~~ By **[Dependent Issues](https://github.com/z0al/dependent-issues)** (🤖). Happy coding!