feat(Combinatorics/GraphLike): Graph is GraphLike

[Jun2M]

---

• depends on: feat(Combinatorics/GraphLike): introduce GraphLike typeclass #36743
• depends on: feat(Combinatorics/GraphLike): GraphLike with no multi edges #39047
• depends on: feat(Combinatorics/GraphLike): introduce SymmGraphLike typeclass #36829

[github-actions]

PR summary 455aa1d6e5

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Combinatorics.GraphLike.Basic (new file)	489
Mathlib.Combinatorics.Graph.GraphLike (new file)	491

---

Declarations diff

+ Adj.left_mem
+ Adj.right_mem
+ Adj.symm
+ Dart
+ DartAdj
+ GraphLike
+ NoMultiEdgeGraphLike
+ SymmGraphLike
+ adj_comm
+ adj_source_target
+ adj_tgt_src
+ dartSym2
+ dartSym2_comp_inv
+ dartSym2_eq_iff
+ dartSym2_eq_mk'_iff
+ dartSym2_eq_mk'_iff'
+ dartSym2_inv
+ dartSym2_mk
+ dartSymm
+ dartSymm_dartSymm
+ dartSymm_involutive
+ dartSymm_mk
+ dart_eq_of_src_tgt_eq
+ darts_ext
+ instance : Std.Symm (Adj G)
+ instance : SymmGraphLike α (Dart α β) β (Graph α β)
+ instance [DecidableRel (Adj G)] : DecidablePred (· ∈ D(G))
+ inv_mem_darts
+ mem_darts_iff_adj
+ noMultiEdgeSymmGraphLike
+ src_tgt_inj
+ toProd

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.

---

No changes to strong technical debt.

No changes to weak technical debt.

[mathlib-dependent-issues]

This PR/issue depends on:

• feat(Combinatorics/GraphLike): introduce GraphLike typeclass #36743
• feat(Combinatorics/GraphLike): GraphLike with no multi edges #39047
• feat(Combinatorics/GraphLike): introduce SymmGraphLike typeclass #36829
  By Dependent Issues (🤖). Happy coding!