Theorems · Theorem · combinatorics
Graph.restrict_restrict
∀ {α : Type u_1} {β : Type u_2} (G : Graph α β) (F₁ F₂ : Set β), (G.restrict F₁).restrict F₂ = G.restrict (F₁ ∩ F₂)- Defined in
- Mathlib.Combinatorics.Graph.Delete
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- LE.le.transproof · cited by 3,151
- Set.inter_commproof · cited by 291
- Graphstatement and proof · cited by 242
- Graph.vertexSetproof · cited by 87
- Graph.edgeSetproof · cited by 79
- Set.inter_assocproof · cited by 67
- Graph.restrictstatement and proof · cited by 18
- Graph.Compatible.extproof · cited by 9
- Graph.Compatible.of_le_leproof · cited by 9
- Graph.edgeSet_restrictproof · cited by 7
- Graph.restrict_leproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Graph.deleteEdges_deleteEdgesproof · cited by 0