Theorems · Theorem · order theory
Order.Ideal.IsProper.ne_univ
∀ {P : Type u_1} {inst : LE P} {I : Order.Ideal P} [self : I.IsProper], ↑I ≠ Set.univThis ideal is not the whole set.
- Defined in
- Mathlib.Order.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- Order.Ideal.IsProper
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.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.univstatement · cited by 3,945
- Order.Idealstatement and proof · cited by 102
- Order.Ideal.IsProperstatement and proof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- Order.Ideal.IsProper.ne_topproof · cited by 2