Theorems · Definition · combinatorics
SimpleGraph.Copy.induce
{V : Type u_1} → (G : SimpleGraph V) → (s : Set V) → (SimpleGraph.induce s G).Copy GThe copy from an induced subgraph to the initial simple graph.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Copy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.inducestatement · cited by 80
- SimpleGraph.Copystatement · cited by 49
- SimpleGraph.Embedding.toCopyproof · cited by 7
- SimpleGraph.Embedding.induceproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.card_edgeFinset_deleteIncidenceSet_le_extremalNumberproof · cited by 1