Theorems · Theorem · order theory
Set.antitone_dissipate
∀ {α : Type u_1} {β : Type u_2} {s : α → Set β} [inst : Preorder α], Antitone (Set.dissipate s)- Defined in
- Mathlib.Order.SetDissipate
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- le_transproof · cited by 985
- Antitonestatement · cited by 563
- Set.dissipatestatement · cited by 24
- Set.biInter_subset_biInter_leftproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- IsCompactSystem.insert_univproof · cited by 2
- isCompactSystem_isCompact_isClosedproof · cited by 2
- Set.directed_dissipateproof · cited by 1
- Set.dissipate_subset_dissipateproof · cited by 1