Theorems · Theorem · order theory
Order.Ideal.IsProper.top_notMem
∀ {P : Type u_1} [inst : LE P] [inst_1 : OrderTop P] {I : Order.Ideal P}, I.IsProper → ⊤ ∉ IAlias of the forward direction of Order.Ideal.isProper_iff_top_notMem.
- Defined in
- Mathlib.Order.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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.
- Top.topstatement · cited by 9,680
- OrderTopstatement and proof · cited by 493
- Order.Idealstatement and proof · cited by 102
- Order.Ideal.IsProperstatement · cited by 23
- Order.Ideal.isProper_iff_top_notMemproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Order.Ideal.IsProper.notMem_of_compl_memproof · cited by 1