feat(AlgebraicTopology/SimplicialSet): more API for horns

[joelriou]

---

• depends on: [Merged by Bors] - feat(AlgebraicTopology/SimplicialSet): more on nondegenerate simplices of the standard simplex #37332

[github-actions]

PR summary 35bf175a46

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ face_le_horn_iff
+ horn_obj_eq_top
+ instance {n : ℕ} (i : Fin (n + 1)) : HasDimensionLT (horn.{u} n i) n := by
+ mem_horn_iff
+ objEquiv_symm_notMem_horn_of_isIso
+ objEquiv_symm_δ_mem_horn_iff
+ objEquiv_symm_δ_notMem_horn_iff
+ subcomplex_le_horn_iff

You can run this locally as follows

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

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

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

---

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

Current number	Change	Type
6917	1	backward.isDefEq.respectTransparency

Current commit 759d0869be
Reference commit 35bf175a46

You can run this locally as

./scripts/reporting/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).

[mathlib-dependent-issues]

This PR/issue depends on:

• [Merged by Bors] - feat(AlgebraicTopology/SimplicialSet): more on nondegenerate simplices of the standard simplex #37332
  By Dependent Issues (🤖). Happy coding!