FormalConjecturesForMathlib/Combinatorics/SimpleGraph/CycleRank.lean

GitHub source file

Explanation legend Lean4 Domain Explanation Language (L4DEL)

L4DEL explanations are a separate layer. They do not change the Lean source. Intuition is explanatory prose; numbered items are a reading path; sources link the wording back to evidence.

L4DEL
Lean4 Domain Explanation Language

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, 0 contain sorry, 0 declared as axioms

Imports (1)
Imported by 1 file
  1. def SimpleGraph.cycleRank The cycle rank of G (or cyclomatic number) is the minimum number of edges that must be removed to eliminate all cycles line 28 source

    Source documentation

    The cycle rank of G (or cyclomatic number) is the minimum number of edges that must be removed to eliminate all cycles.

    standard axioms: Classical.choice, Quot.sound, propext what this means

    Statement uses: Fintype, DecidableEq, SimpleGraph, DecidableRel, SimpleGraph.Adj, Nat

    Proof uses: HSub.hSub, HAdd.hAdd, Finset.card, Sym2, SimpleGraph.edgeFinset, Fintype.card, SimpleGraph.ConnectedComponent

    7 instances, coercions and auxiliary constants left out.

    noncomputable def cycleRank (G : SimpleGraph α) [DecidableRel G.Adj] : ℕ :=
    …