Theorems · Theorem · combinatorics
SimpleGraph.IsTree.dist_ne_of_adj
∀ {V : Type u_1} {G : SimpleGraph V}, G.IsTree → ∀ (u : V) {v w : V}, G.Adj v w → G.dist u v ≠ G.dist u w- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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.Adjstatement and proof · cited by 1,346
- SimpleGraph.diststatement · cited by 40
- SimpleGraph.IsTreestatement and proof · cited by 32
- SimpleGraph.Connected.preconnectedproof · cited by 28
- SimpleGraph.IsTree.connectedproof · cited by 9
- SimpleGraph.IsTree.isAcyclicproof · cited by 5
- SimpleGraph.IsAcyclic.dist_ne_of_adjproof · cited by 1
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