Theorems · Theorem · order theory
Finpartition.parts_subset_extendOfLE
∀ {α : Type u_1} [inst : GeneralizedBooleanAlgebra α] [inst_1 : DecidableEq α] {a b : α} (P : Finpartition a)
(hab : a ≤ b), P.parts ⊆ (P.extendOfLE hab).parts- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Bot.botproof · cited by 4,720
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Finset.subset_insertproof · cited by 36
- sdiff_eq_bot_iffproof · cited by 10
- Finpartition.extendOfLEstatement · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.preVariation.sum_le_preVariationFun_iUnion'proof · cited by 1
- MeasureTheory.preVariation.sum_le_preVariationFun_of_subsetproof · cited by 1
- MeasureTheory.VectorMeasure.le_variationproof · cited by 1