Theorems · Theorem · order theory
hnot_le_iff_codisjoint_right
∀ {α : Type u_2} [inst : CoheytingAlgebra α] {a b : α}, ￢b ≤ a ↔ Codisjoint b a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- CoheytingAlgebra
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.
- Codisjointstatement · cited by 197
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement · cited by 83
- hnot_le_iff_codisjoint_leftproof · cited by 8
- codisjoint_commproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- hnot_le_commproof · cited by 4
- Coheyting.boundary_le_boundary_sup_sup_boundary_inf_leftproof · cited by 2
- le_hnot_selfproof · cited by 2
- Codisjoint.hnot_le_rightproof · cited by 1
- codisjoint_hnot_hnot_left_iffproof · cited by 1
- codisjoint_iff_compl_le_rightproof · cited by 0
- himp_leproof · cited by 0