Theorems · Theorem · combinatorics
Finpartition.nonUniforms_mono
∀ {α : Type u_1} {𝕜 : Type u_2} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
[inst_3 : DecidableEq α] {A : Finset α} (P : Finpartition A) (G : SimpleGraph α) [inst_4 : DecidableRel G.Adj]
{ε ε' : 𝕜}, ε ≤ ε' → P.nonUniforms G ε' ⊆ P.nonUniforms G ε- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsproof · cited by 184
- Finset.offDiagproof · cited by 44
- Finpartition.nonUniformsstatement · cited by 11
- Finset.monotone_filter_rightproof · cited by 10
- SimpleGraph.IsUniform.monoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finpartition.IsUniform.monoproof · cited by 1