Theorems · Theorem · order theory
bddAbove_Iic
∀ {α : Type u_1} [inst : Preorder α] {a : α}, BddAbove (Set.Iic a)- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- Preorder
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.
- Preorderstatement and proof · cited by 7,952
- Set.Iicstatement · cited by 1,111
- BddAbovestatement · cited by 620
- isLUB_Iicproof · cited by 3
- IsLUB.bddAboveproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.indep_limsup_atTop_selfproof · cited by 3
- IsClosed.upperClosure_piproof · cited by 2
- Order.IsNormal.preimage_Iicproof · cited by 2
- Ordinal.mem_closure_tfaeproof · cited by 1