Theorems · Theorem · order theory
codisjoint_self
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderTop α] {a : α}, Codisjoint a a ↔ a = ⊤- Defined in
- Mathlib.Order.Disjoint
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- PartialOrderOrderTop
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.
- Top.topstatement and proof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- le_rflproof · cited by 1,558
- OrderTopstatement and proof · cited by 493
- Codisjointstatement and proof · cited by 197
- top_uniqueproof · cited by 102
- LE.le.trans_eq'proof · cited by 21
Cited by4
Results whose statement or proof uses this declaration.
- le_hnot_selfproof · cited by 2
- himp_le_leftproof · cited by 0
- Codisjoint.neproof · cited by 0
- Codisjoint.eq_top_of_selfproof · cited by 0