Theorems · Theorem · combinatorics
Multiset.mem_sort
∀ {α : Type u_1} {a : α} {s : Multiset α} (r : α → α → Prop) [inst : DecidableRel r] [inst_1 : IsTrans α r]
[inst_2 : Std.Antisymm r] [inst_3 : Std.Total r], a ∈ s.sort r ↔ a ∈ s- Defined in
- Mathlib.Data.Multiset.Sort
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- IsTransstatement and proof · cited by 157
- Multiset.sortstatement · cited by 19
- Multiset.mem_coeproof · cited by 17
- Multiset.sort_eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Finset.mem_sortproof · cited by 3