Theorems · Theorem · order theory
finite_memPartition
∀ {α : Type u_1} (f : ℕ → Set α) (n : ℕ), (memPartition f n).Finite- Defined in
- Mathlib.Data.Set.MemPartition
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.univproof · cited by 3,945
- Finiteproof · cited by 3,029
- Set.iUnionproof · cited by 2,483
- Set.Finitestatement and proof · cited by 1,814
- Set.union_singletonproof · cited by 107
- Set.ofPred_existsproof · cited by 23
- Set.finite_coe_iffproof · cited by 21
- memPartitionstatement and proof · cited by 20
- memPartition_succproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSpace.finite_countablePartitionproof · cited by 1
- MeasurableSpace.measurableSet_generateFrom_memPartition_iffproof · cited by 1
- MeasurableSpace.measurableSet_generateFrom_memPartitionproof · cited by 1