Theorems · Theorem · combinatorics
Finpartition.isUniformOfEmpty
∀ {α : Type u_1} {𝕜 : Type u_2} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [inst_2 : DecidableEq α] {A : Finset α}
{P : Finpartition A} {G : SimpleGraph α} [inst_3 : DecidableRel G.Adj] {ε : 𝕜}, P.parts = ∅ → P.IsUniform G ε- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Finset.cardproof · cited by 2,327
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Finset.filter_congrproof · cited by 167
Cited by1
Results whose statement or proof uses this declaration.
- Finpartition.nonempty_of_not_uniformproof · cited by 1