Theorems · Theorem · order theory
Multiset.sup_singleton
∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α] {a : α}, {a}.sup = a- Defined in
- Mathlib.Data.Multiset.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeSupOrderBot
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 · cited by 2,627
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- sup_bot_eqproof · cited by 31
- Multiset.supstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sup_singletonproof · cited by 42