feat(AlgebraicTopology/SimplicialSet): induction principles for nondegenerate simplices

[joelriou]

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[github-actions]

PR summary 82670e855c

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

+ cases
+ dim_toN_le
+ eq_iff_ofSimplex_eq
+ eq_iff_sMk_eq
+ existsN
+ existsUnique_toNπ
+ induction
+ instance (x : X.S) : Epi x.toNπ := (existsUnique_toNπ rfl).exists.choose_spec.1
+ map_toNπ_op_apply
+ ofSimplex_eq_subcomplex_mk
+ subcomplex_cast
+ subcomplex_eq_of_epi
+ subcomplex_le_iff
+ toNπ
++ lt_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.

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

Current number	Change	Type
7343	1	backward.isDefEq

Current commit b065510e66
Reference commit 82670e855c

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).