Theorems · Theorem · combinatorics
SimpleGraph.IsAcyclic.girth_eq_zero
∀ {α : Type u_1} {G : SimpleGraph α}, G.IsAcyclic → G.girth = 0Alias of the reverse direction of SimpleGraph.girth_eq_zero.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Girth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.IsAcyclicstatement · cited by 67
- SimpleGraph.girthstatement · cited by 11
- SimpleGraph.girth_eq_zeroproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.