Theorems · Definition · combinatorics
SimpleGraph.nonuniformWitness
{α : Type u_1} →
{𝕜 : Type u_2} →
[inst : Field 𝕜] →
[inst_1 : LinearOrder 𝕜] →
[IsStrictOrderedRing 𝕜] → (G : SimpleGraph α) → [DecidableRel G.Adj] → 𝕜 → Finset α → Finset α → Finset αArbitrary witness of non-uniformity. G.nonuniformWitness ε s t and
G.nonuniformWitness ε t s form a pair of subsets witnessing the non-uniformity of (s, t). If
(s, t) is uniform, returns s.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- SimpleGraphstatement and proof · cited by 3,072
- IsStrictOrderedRingstatement and proof · cited by 2,490
- SimpleGraph.Adjstatement and proof · cited by 1,346
- WellOrderingRelproof · cited by 30
- SimpleGraph.nonuniformWitnessesproof · cited by 7
Cited by9
Results whose statement or proof uses this declaration.
- SzemerediRegularity.starproof · cited by 5
- Finpartition.nonuniformWitnessesproof · cited by 5
- SzemerediRegularity.star_subset_chunkproof · cited by 2
- SimpleGraph.le_card_nonuniformWitnessstatement · cited by 0
- SimpleGraph.nonuniformWitness.congr_simpstatement and proof · cited by 0
- SimpleGraph.nonuniformWitness_specstatement · cited by 0
- SzemerediRegularity.biUnion_star_subset_nonuniformWitnessstatement · cited by 0
- SimpleGraph.nonuniformWitness_subsetstatement · cited by 0
- Finpartition.nonuniformWitness_mem_nonuniformWitnessesstatement and proof · cited by 0