Theorems · Definition · combinatorics
SimpleGraph.ball
{V : Type u_1} → SimpleGraph V → V → ℕ∞ → Set VThe open ball of radius r centered at the vertex c in the graph extended metric.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Metric
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 33 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 · cited by 53,352
- Set.ofPredproof · cited by 6,101
- ENatstatement and proof · cited by 4,985
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.edistproof · cited by 55
Cited by9
Results whose statement or proof uses this declaration.
- SimpleGraph.mem_ballstatement · cited by 0
- SimpleGraph.mem_ball_commstatement · cited by 0
- SimpleGraph.mem_ball_selfstatement · cited by 0
- SimpleGraph.mem_ball_topstatement · cited by 0
- SimpleGraph.ball_monostatement and proof · cited by 0
- SimpleGraph.ball_onestatement · cited by 0
- SimpleGraph.ball_topstatement · cited by 0
- SimpleGraph.ball_twostatement and proof · cited by 0
- SimpleGraph.ball_zerostatement · cited by 0