Theorems · Theorem · order theory
Order.sequenceOfCofinals.monotone
∀ {P : Type u_1} [inst : Preorder P] (p : P) {ι : Type u_2} [inst_1 : Encodable ι] (𝒟 : ι → Order.Cofinal P),
Monotone (Order.sequenceOfCofinals p 𝒟)- Defined in
- Mathlib.Order.Ideal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- le_reflproof · cited by 2,061
- Monotonestatement · cited by 1,397
- Encodablestatement and proof · cited by 140
- Encodable.decodeproof · cited by 77
- monotone_nat_of_le_succproof · cited by 45
- Order.Cofinalstatement and proof · cited by 13
- Order.sequenceOfCofinalsstatement and proof · cited by 5
- Order.Cofinal.le_aboveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.equiv_between_cgproof · cited by 2
- FirstOrder.Language.embedding_from_cgproof · cited by 0