Theorems · Theorem · combinatorics
SimpleGraph.Subgraph.preconnected_iff
∀ {V : Type u} {G : SimpleGraph V} {H : G.Subgraph}, H.Preconnected ↔ H.coe.Preconnected- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
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.
- Set.Elemstatement · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Subgraphstatement and proof · cited by 326
- SimpleGraph.Subgraph.vertsstatement · cited by 210
- SimpleGraph.Subgraph.coestatement and proof · cited by 89
- SimpleGraph.Preconnectedstatement and proof · cited by 49
- SimpleGraph.Subgraph.Preconnectedstatement and proof · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- SimpleGraph.Subgraph.connected_iffproof · cited by 5
- SimpleGraph.Subgraph.Preconnected.mapproof · cited by 2
- SimpleGraph.preconnected_induce_iffproof · cited by 2
- SimpleGraph.Subgraph.preconnected_iff_forall_exists_walk_subgraphproof · cited by 1
- SimpleGraph.Preconnected.toSubgraphproof · cited by 1