GraphConjecture5.lean`

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Credit: The upstream authors and contributors retain credit for the project and mathematics. lean4-explainer only renders their pinned source and adds the separately disclosed explanation layer.

Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 1 contain sorry, 0 declared as axioms

Written on the Wall II - Conjecture 5

Reference: E. DeLaVina, Written on the Wall II, Conjectures of Graffiti.pc

Imports (1)

FormalConjecturesUtil

theorem WrittenOnTheWallII.GraphConjecture5.conjecture5 WOWII Conjecture 5 For a simple connected graph G, Ls(G) is bounded below by the maximal size of a sphere of radius radius(G) around the centres of G sorry line 45 source
Source documentation
WOWII Conjecture 5
For a simple connected graph G, Ls(G) is bounded below by the maximal size of a sphere of radius radius(G) around the centres of G.

L4DEL explanation
WOWII Conjecture 5 For a simple connected graph G, Ls(G) is bounded below by the maximal size of a sphere of radius radius(G) around the centres of G.
Sources and attribution: Pinned Lean source (1646ca16afd6)

depends on sorry what this means
Statement uses: Fintype, DecidableEq, Nontrivial, SimpleGraph, SimpleGraph.Connected, LE.le, Real, SupSet.sSup, Set.image, Finset.card, Finset.filter, Membership.mem, Set, Set.ofPred, Eq, Nat, SimpleGraph.dist, ENat.toNat, SimpleGraph.radius, Finset.univ and 5 more
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous, OfNat.ofNat
15 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem conjecture5 (G : SimpleGraph V) (h_conn : G.Connected) :
    letI centers := { v : V | G.eccent v = G.radius }
…
```