Theorems · Theorem · order theory
IsLowerSet.dirSupInacc
∀ {α : Type u_1} {s : Set α} [inst : Preorder α], IsLowerSet s → DirSupInacc s- Defined in
- Mathlib.Order.DirSupClosed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 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.
Cites7
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
- IsLowerSetstatement and proof · cited by 167
- DirSupInaccstatement · cited by 23
- IsLowerSet.complproof · cited by 7
- IsUpperSet.dirSupClosedproof · cited by 2
- DirSupInacc.of_complproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- dirSupInacc_Iicproof · cited by 0