Catalog/Sparsity/NDImpliesUQW/Contract.lean
| 1 | import Catalog.Sparsity.Preliminaries.Contract |
| 2 | import Catalog.Sparsity.NowhereDense.Contract |
| 3 | import Catalog.Sparsity.UniformQuasiWideness.Contract |
| 4 | |
| 5 | namespace Catalog.Sparsity.NDImpliesUQW |
| 6 | |
| 7 | open Catalog.Sparsity.Preliminaries Catalog.Sparsity.NowhereDense Catalog.Sparsity.UniformQuasiWideness |
| 8 | |
| 9 | /-- Lemma 3.4: if a class `C` is nowhere dense, then `C` is uniformly |
| 10 | quasi-wide. -/ |
| 11 | axiom nd_implies_uqw (C : GraphClass) : |
| 12 | IsNowhereDense C → UniformlyQuasiWide C |
| 13 | |
| 14 | end Catalog.Sparsity.NDImpliesUQW |
| 15 |