Theorems · Definition · combinatorics
SimpleGraph.IsIndContained
{V : Type u_1} → {W : Type u_2} → SimpleGraph V → SimpleGraph W → PropA simple graph G is inducingly contained in a simple graph H if there exists an induced
subgraph of H isomorphic to G. This is denoted by G ⊴ H.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Copy
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Embeddingproof · cited by 41
Cited by22
Results whose statement or proof uses this declaration.
- SimpleGraph.Iso.isIndContainedstatement · cited by 2
- SimpleGraph.isIndContained_iff_exists_iso_subgraphstatement and proof · cited by 2
- SimpleGraph.compl_isIndContained_complstatement · cited by 2
- SimpleGraph.Subgraph.IsInduced.isIndContainedstatement · cited by 1
- SimpleGraph.IsIndContained.isContainedstatement and proof · cited by 1
- SimpleGraph.IsIndContained.reflstatement · cited by 1
- SimpleGraph.IsIndContained.transstatement and proof · cited by 1
- SimpleGraph.Embedding.isIndContainedstatement · cited by 1
- SimpleGraph.IsContained.isIndContained_lineGraphstatement · cited by 0
- SimpleGraph.eq_top_of_isIndContained_topstatement and proof · cited by 0
- SimpleGraph.IsIndContained.complstatement · cited by 0
- SimpleGraph.IsIndContained.exists_iso_subgraphstatement · cited by 0