Theorems · Theorem · order theory
Disjoint.le_compl_left
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, Disjoint b a → a ≤ bᶜAlias of the reverse direction of le_compl_iff_disjoint_left.
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- HeytingAlgebra
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.
- Compl.complstatement · cited by 2,925
- Disjointstatement · cited by 2,201
- HeytingAlgebrastatement and proof · cited by 108
- le_compl_iff_disjoint_leftproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- IsCompl.compl_eqproof · cited by 16
- Set.Intersecting.is_max_iff_card_eqproof · cited by 2
- Fintype.linearIndependent_iffₒₛproof · cited by 1