Theorems · Theorem · order theory
memPartitionSet_mem
∀ {α : Type u_1} (f : ℕ → Set α) (n : ℕ) (a : α), memPartitionSet f n a ∈ memPartition f n- Defined in
- Mathlib.Data.Set.MemPartition
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.univproof · cited by 3,945
- memPartitionstatement and proof · cited by 20
- memPartitionSetstatement and proof · cited by 12
- memPartition_succproof · cited by 6
- memPartitionSet_succproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasurableSpace.countablePartitionSet_memproof · cited by 4
- memPartitionSet_eq_iffproof · cited by 3
- ProbabilityTheory.measurable_memPartitionSet_subtypestatement and proof · cited by 2
- ProbabilityTheory.measurableSet_partitionFiltration_memPartitionSetproof · cited by 0
- MeasurableSpace.measurableSet_memPartitionSetproof · cited by 0