feat(LinearAlgebra/PiTensorProduct): dependent version of tmulEquiv

[joelriou]

Given a family of R-modules N indexed by ι ⊕ ι', we obtain a linear equivalence tmulEquivDep : (⨂[R] i₁, N (.inl i₁)) ⊗[R] (⨂[R] i₂, N (.inr i₂)) ≃ₗ[R] ⨂[R] i, N i, which generalizes tmulEquiv (which is the case all N i are the same module).

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This will be used in #18527.

[github-actions]

PR summary ae054f4591

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ currySumEquiv_apply
+ currySumEquiv_symm_apply
+ domCoprodDep
+ domCoprodDep'
+ rec_update₁
+ rec_update₂
+ tmulEquivDep
+ tmulEquivDep_apply
+ tmulEquivDep_symm_apply
+ update_inl_comp_inl_apply
+ update_inr_comp_inr_apply
- coe_currySumEquiv
- coe_currySumEquiv_symm
- currySum_apply
- uncurrySum_aux_apply

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

[eric-wieser]

Isn't this Sum.rec?

[joelriou]

Thanks! I am fixing this.