feat(Geometry/Convex): the cone of an affine map from the standard simplex

[joelriou]

From https://github.com/joelriou/excision

---

[github-actions]

PR summary e42e1b5476

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Geometry.Convex.ConvexSpace.AffineMapCone (new file)	1031

---

Declarations diff (regex)

+ AffineMap.cone
+ AffineMap.cone_comp
+ AffineMap.cone_def
+ AffineMap.cone_mk₁
+ AffineMap.cone_mk₂
+ AffineMap.cone_single_succ
+ AffineMap.cone_single_zero

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

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

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit e42e1b5).

• +7 new declarations
• −0 removed declarations

+Convexity.ConvexSpace.AffineMap.cone
+Convexity.ConvexSpace.AffineMap.cone_comp
+Convexity.ConvexSpace.AffineMap.cone_def
+Convexity.ConvexSpace.AffineMap.cone_mk₁
+Convexity.ConvexSpace.AffineMap.cone_mk₂
+Convexity.ConvexSpace.AffineMap.cone_single_succ
+Convexity.ConvexSpace.AffineMap.cone_single_zero

---

No changes to strong technical debt.

Increase in weak tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type (weak)
exposed public sections	5050	1

Current commit e42e1b5476
Reference commit e3ea2ac394

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/technical-debt-metrics.py 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).