Theorems · Theorem · order theory
Order.Cofinal.above_mem
∀ {P : Type u_1} [inst : Preorder P] (D : Order.Cofinal P) (x : P), D.above x ∈ D- Defined in
- Mathlib.Order.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Classical.choice
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Order.Cofinalstatement and proof · cited by 13
- Order.Cofinal.abovestatement · cited by 3
- Order.Cofinal.isCofinalproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Order.sequenceOfCofinals.encode_memproof · cited by 3