Theorems · Theorem · order theory
Finpartition.existsUnique_mem
∀ {α : Type u_1} [inst : DecidableEq α] {s : Finset α} (P : Finpartition s) {a : α}, a ∈ s → ∃! t, t ∈ P.parts ∧ a ∈ t- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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.
- Finsetstatement and proof · cited by 13,712
- ExistsUniquestatement · cited by 268
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Finpartition.exists_memproof · cited by 3
- Finpartition.eq_of_mem_partsproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Finpartition.partproof · cited by 22
- Finpartition.part_memproof · cited by 5
- Finpartition.part_surjOnproof · cited by 1
- Finpartition.mem_part_selfproof · cited by 1