feat(Analysis/Convex/Cone): min and max tensor products are equal when one factor is simplicial and generating

[bjornsolheim]

Prove that min and max tensor products are equal when one factor is simplicial and generating.
Add theorems:
minTensorProduct_eq_max_of_simplicial_generating_left
minTensorProduct_eq_max_of_simplicial_generating_right

---

• depends on: [Merged by Bors] - feat(Geometry/Convex/Cone): define and characterize simplicial pointed cones #32355 [new file simplicial.lean]

[github-actions]

PR summary 0f34c9530c

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Analysis.Convex.Cone.TensorProduct (new file)	1998

---

Declarations diff

+ basis_coord_mem_dual
+ instIsContPerfPairDualPairing
+ minTensorProduct_eq_max_of_simplicial_generating_left
+ minTensorProduct_eq_max_of_simplicial_generating_right

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 scripts/declarations_diff.sh contains some details about this script.

---

No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[joneugster]

I think you can now comment on the PR to add missing topic labels:

t-analysis

(improvements to the automation are on the way: #34078)

[mathlib-dependent-issues]

This PR/issue depends on:

• [Merged by Bors] - feat(Geometry/Convex/Cone): define and characterize simplicial pointed cones #32355
  By Dependent Issues (🤖). Happy coding!

[mathlib-merge-conflicts]

This pull request has conflicts, please merge master and resolve them.