FormalConjectures/ErdosProblems/72.lean
2 declarations, 2 contain sorry, 0 declared as axioms
Erdős Problem 72
References:
- erdosproblems.com/72
- [Er94b] Erdős, Paul, Some problems in number theory, combinatorics and combinatorial geometry. Math. Pannon. (1994), 261-269.
- [Er95] Erdős, Paul, Some of my favourite problems in number theory, combinatorics, and geometry. Resenhas (1995), 165-186.
- [Er97b] Erdős, Paul, Some old and new problems in various branches of combinatorics. Discrete Math. (1997), 227-231.
- [Er97c] Erdős, Paul, Some of my favorite problems and results. The mathematics of Paul Erdős, I (1997), 47-67.
- [Bo77] Bollobás, Béla, Cycles modulo $k$. Bull. London Math. Soc. (1977), 97-98.
- [Ve05] Verstraete, Jacques, Unavoidable cycle lengths in graphs. J. Graph Theory (2005), 151-167.
- [LiMo20] Liu, Hong and Montgomery, Richard, A solution to Erdős and Hajnal's odd cycle problem. arXiv:2010.15802 (2020).
Imports (1)
- theorem
Erdos72.erdos_72sorry line 67 sourcedepends on sorry what this means
Statement uses:
Iff,True,Exists,Set,Nat,And, Set.HasDensity,OfNat.ofNat,Real,Set.univ,Rat,LT.lt,Filter.Eventually,SimpleGraph,Fin,LE.le, SimpleGraph.averageDegree,Classical.propDecidable,SimpleGraph.Adj,SimpleGraph.Walkand 4 moreProof uses:
sorryAx,Lean.Name,Bool.false,Lean.Name.num,Lean.Name.str,Lean.Name.anonymous23 instances, coercions and auxiliary constants left out.
Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
- theorem
Erdos72.erdos_72.variants.powers_of_twosorry line 80 sourcedepends on sorry what this means
Statement uses:
Exists,Rat,And,LT.lt,OfNat.ofNat,Filter.Eventually,Nat,SimpleGraph,Fin,LE.le, SimpleGraph.averageDegree,Classical.propDecidable,SimpleGraph.Adj,SimpleGraph.Walk,SimpleGraph.Walk.IsCycle,Eq,SimpleGraph.Walk.length,HPow.hPow,Filter.atTopProof uses:
sorryAx,Lean.Name,Bool.false,Lean.Name.num,Lean.Name.str,Lean.Name.anonymous20 instances, coercions and auxiliary constants left out.
Tactic trace: 1 steps
Open to load the checked before-and-after goal states.