FractionalAlpha.lean`

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

1 declarations, 0 contain sorry, 0 declared as axioms

Imports (3)

Imported by 1 file

FormalConjecturesForMathlib.lean

def SimpleGraph.fractionalAlpha Fractional alpha line 36 source
Source documentation
Fractional alpha. This is defined as $$ \max_x \sum_{v \in V} x_v $$ subject to $0 \le x_v \le 1$ for all $v \in V$ and $x_u + x_v \le 1$ whenever $(u, v)$ are connected by an edge.

standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Fintype, SimpleGraph, DecidableRel, SimpleGraph.Adj, Real
Proof uses: SupSet.sSup, Set.ofPred, Exists, Membership.mem, Set, Set.Icc, OfNat.ofNat, LE.le, HAdd.hAdd, Eq, Finset.sum, Finset.univ
11 instances, coercions and auxiliary constants left out.
```
noncomputable def fractionalAlpha (G : SimpleGraph α) [DecidableRel G.Adj] : ℝ :=
…
```