Theorems · Theorem · order theory
codisjoint_comm
∀ {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
- 8 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- PartialOrderOrderTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
Cited by8
Results whose statement or proof uses this declaration.
- Codisjoint.symmproof · cited by 9
- hnot_le_iff_codisjoint_rightproof · cited by 7
- RingOfIntegers.not_dvd_exponent_iffproof · cited by 4
- Codisjoint.codisjoint_inf_left_of_codisjoint_inf_rightproof · cited by 2
- codisjoint_iInf_iffproof · cited by 1
- codisjoint_inf_right_of_codisjoint_inf_rightproof · cited by 0
- Finset.codisjoint_rightproof · cited by 0
- codisjoint_sInf_iffproof · cited by 0