Theorems · Theorem · order theory
Set.accumulate_subset_accumulate
∀ {α : Type u_1} {β : Type u_2} {s : α → Set β} [inst : Preorder α] {x y : α},
x ≤ y → Set.accumulate s x ⊆ Set.accumulate s y- Defined in
- Mathlib.Order.SetAccumulate
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.accumulatestatement · cited by 32
- Set.monotone_accumulateproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_measure_iUnion_accumulateproof · cited by 4