Theorems · Theorem · order theory
disjoint_compl_right
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a : α}, Disjoint a aᶜ- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- 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
- Disjoint.symmproof · cited by 125
- HeytingAlgebrastatement and proof · cited by 108
- disjoint_compl_leftproof · cited by 17
Cited by47
Results whose statement or proof uses this declaration.
- Set.ncard_add_ncard_complproof · cited by 16
- MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecompositionproof · cited by 10
- MeasureTheory.Measure.restrict_add_restrict_complproof · cited by 8
- Metric.disjoint_nhds_coboundedproof · cited by 7
- Finset.disjoint_filter_filter_notproof · cited by 6
- MeasureTheory.JordanDecomposition.toSignedMeasure_injectiveproof · cited by 6
- LE.le.disjoint_compl_rightproof · cited by 5
- IsPreconnected.subset_isClopenproof · cited by 4
- MeasureTheory.Measure.MutuallySingular.self_iffproof · cited by 4
- MeasureTheory.aedisjoint_compl_rightproof · cited by 4
- MeasureTheory.integral_add_compl₀proof · cited by 4
- IsPreconnected.subset_of_closure_inter_subsetproof · cited by 3