Theorems · Theorem · combinatorics
Finpartition.IsUniform.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}, P.IsUniform G ε → ε ≤ ε' → 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.
Cites16
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
- LE.le.transproof · cited by 3,151
- SimpleGraphstatement and proof · cited by 3,072
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Finset.cardproof · cited by 2,327
- SimpleGraph.Adjstatement and proof · cited by 1,346
- mul_le_mul_of_nonneg_leftproof · cited by 361
- Nat.cast_nonneg'proof · cited by 245
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsproof · cited by 184
Cited by1
Results whose statement or proof uses this declaration.
- szemeredi_regularityproof · cited by 1