Theorems · Theorem · order theory
Finpartition.part_surjOn
∀ {α : Type u_1} [inst : DecidableEq α] {s : Finset α} (P : Finpartition s), Set.SurjOn P.part ↑s ↑P.parts- Defined in
- Mathlib.Order.Partition.Finpartition
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 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.
Cites13
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
- SetLike.coestatement and proof · cited by 8,199
- Finpartitionstatement and proof · cited by 199
- Set.SurjOnstatement · cited by 186
- Finpartition.partsstatement and proof · cited by 184
- ExistsUnique.uniqueproof · cited by 42
- Finpartition.partstatement · cited by 22
- Finpartition.leproof · cited by 15
- Finpartition.part_memproof · cited by 5
- Finset.mem_of_subsetproof · cited by 5
- Finpartition.nonempty_of_mem_partsproof · cited by 4
- Finpartition.existsUnique_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Finpartition.exists_subset_part_bijOnproof · cited by 1