Theorems · Theorem · order theory
le_compl_iff_disjoint_left
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, a ≤ bᶜ ↔ Disjoint b a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- HeytingAlgebra
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.
- Compl.complstatement · cited by 2,925
- Disjointstatement · cited by 2,201
- HeytingAlgebrastatement and proof · cited by 108
- disjoint_commproof · cited by 49
- le_compl_iff_disjoint_rightproof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- Set.subset_compl_iff_disjoint_leftproof · cited by 9
- le_compl_commproof · cited by 4
- disjoint_compl_left_iffproof · cited by 4
- Disjoint.le_compl_leftproof · cited by 3
- le_compl_selfproof · cited by 2
- Finset.subset_compl_iff_disjoint_leftproof · cited by 1
- Heyting.IsRegular.disjoint_compl_left_iffproof · cited by 0