Theorems · Definition · combinatorics
Graph.deleteEdges
{α : Type u_1} → {β : Type u_2} → Graph α β → Set β → Graph α βDelete a set F of edges from G. This is a special case of restrict,
but we define it with copy so that the edge set is definitionally equal to E(G) \ F.
- Defined in
- Mathlib.Combinatorics.Graph.Delete
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Graphstatement and proof · cited by 242
- Graph.edgeSetproof · cited by 79
- Graph.restrictproof · cited by 18
- Graph.copyproof · cited by 4
Cited by12
Results whose statement or proof uses this declaration.
- Graph.edgeSet_deleteEdgesstatement and proof · cited by 1
- Graph.restrict_edgeSet_sdiff_eq_deleteEdgesstatement · cited by 1
- Graph.deleteEdges_isLinkstatement and proof · cited by 1
- Graph.deleteEdges_lestatement · cited by 1
- Graph.deleteEdges_mono_leftstatement · cited by 0
- Graph.vertexSet_deleteEdgesstatement and proof · cited by 0
- Graph.restrict_edgeSet_diff_eq_deleteEdgesstatement · cited by 0
- Graph.restrict_eq_deleteEdgesstatement · cited by 0
- Graph.deleteEdges_deleteEdgesstatement and proof · cited by 0
- Graph.deleteEdges_emptystatement · cited by 0
- Graph.deleteEdges_incstatement · cited by 0
- Graph.deleteEdges_isLoopAtstatement · cited by 0