Theorems · Theorem · order theory
Set.accumulate_succ
∀ {α : Type u_1} (u : ℕ → Set α) (n : ℕ), Set.accumulate u (n + 1) = Set.accumulate u n ∪ u (n + 1)- Defined in
- Mathlib.Order.SetAccumulate
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Set.accumulatestatement · cited by 32
- Set.biUnion_le_succproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetRing.accumulate_memproof · cited by 4
- MeasureTheory.addContent_accumulateproof · cited by 3
- Set.exists_subset_accumulate_of_directedproof · cited by 1