Theorems · Theorem · order theory
partialSups_monotone
∀ {α : Type u_1} {ι : Type u_3} [inst : SemilatticeSup α] [inst_1 : Preorder ι] [inst_2 : LocallyFiniteOrderBot ι]
(f : ι → α), Monotone ⇑(partialSups f)- Defined in
- Mathlib.Order.PartialSups
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- LE.le.transproof · cited by 3,151
- Monotonestatement · cited by 1,397
- OrderHomstatement · cited by 934
- SemilatticeSupstatement and proof · cited by 785
- LocallyFiniteOrderBotstatement and proof · cited by 286
- partialSupsstatement and proof · cited by 67
- le_partialSups_of_leproof · cited by 4
- partialSups_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.isSigmaSubadditive_of_addContent_iUnion_eq_tsumproof · cited by 2