feat(Combinatorics/SimpleGraph/Clique): add lemmas about isomorphisms and cliques

[IvanRenison]

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Idea from this Zulip thread: #graph theory>Second Order Monadic Logic for Graph

• depends on: feat(Data): add theorem Finset.image_eq_iff_eq_preimage #37649
• depends on: feat(Order/RelIso): add lemmas about congruence with relIso #37640
• depends on: feat(Data/Finset/Preimage): add lemmas about Equiv.symm #37676
• depends on: feat(Combinatorics/SimpleGraph/Clique): add theorems about cliques and induced graphs #37697
• depends on: feat(Combinatorics/SimpleGraph/Maps): add Iso.induceIso #37700

[github-actions]

PR summary eb4f246868

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

+ Iso.cliqueFinset_eq
+ Iso.cliqueFreeOn_iff
+ Iso.cliqueFree_iff
+ Iso.cliqueNum_eq
+ Iso.cliqueSet_eq
+ Iso.isClique_iff
+ Iso.isNClique_iff
+ _root_.Function.Bijective.bijOn_preimage
+ _root_.Function.Bijective.image_preimage_eq
+ _root_.Function.Injective.bijOn_image
+ _root_.Function.Surjective.surjOn_preimage
+ cliqueFreeOn_iff_cliqueFree_subgraph
+ cliqueFree_induce_iff
+ cliqueNum_induce_le_cliqueNum
+ coe_induceIso
+ image_eq_iff_eq_preimage
+ image_eq_preimage_symm_of_finset
+ image_symm_eq_preimage_of_finset
+ induceIso
+ induceIso_comp
+ induceIso_id
+ isClique_induce_iff
+ isNClique_induce_iff
+ relEmbeddingCongr
+ relIsoCongr

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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No changes to technical debt.

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:

• feat(Data): add theorem Finset.image_eq_iff_eq_preimage #37649
• feat(Order/RelIso): add lemmas about congruence with relIso #37640
• feat(Data/Finset/Preimage): add lemmas about Equiv.symm #37676
• feat(Combinatorics/SimpleGraph/Clique): add theorems about cliques and induced graphs #37697
• feat(Combinatorics/SimpleGraph/Maps): add Iso.induceIso #37700
  By Dependent Issues (🤖). Happy coding!