Theorems · Theorem · order theory
Codisjoint.symm
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderTop α] ⦃a b : α⦄, Codisjoint a b → Codisjoint b a- Defined in
- Mathlib.Order.Disjoint
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- PartialOrderOrderTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- OrderTopstatement and proof · cited by 493
- Codisjointstatement · cited by 197
- codisjoint_commproof · cited by 8
Cited by9
Results whose statement or proof uses this declaration.
- IsCompl.symmproof · cited by 80
- codisjoint_hnot_rightproof · cited by 7
- IsCompl.eq_complproof · cited by 4
- Codisjoint.codisjoint_inf_left_of_codisjoint_inf_rightproof · cited by 2
- Codisjoint.himp_eq_leftproof · cited by 2
- Codisjoint.left_le_of_le_inf_rightproof · cited by 2
- Submodule.FG.cofg_of_codisjointproof · cited by 1
- Codisjoint.eq_top_of_geproof · cited by 0