Theorems · Theorem · combinatorics
SimpleGraph.girth_eq_zero
∀ {α : Type u_1} {G : SimpleGraph α}, G.girth = 0 ↔ G.IsAcyclic- Defined in
- Mathlib.Combinatorics.SimpleGraph.Girth
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 67
- Function.mtproof · cited by 27
- SimpleGraph.egirthproof · cited by 17
- SimpleGraph.girthstatement and proof · cited by 11
- SimpleGraph.three_le_girthproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.IsAcyclic.girth_eq_zeroproof · cited by 0