Theorems · Theorem · logic and foundations
Set.union_subset_union_right
∀ {α : Type u} (s : Set α) {t₁ t₂ : Set α}, t₁ ⊆ t₂ → s ∪ t₁ ⊆ s ∪ t₂- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Set.Subset.rflproof · cited by 255
- Set.union_subset_unionproof · cited by 29
Cited by19
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.skeletonLT_monoproof · cited by 4
- Topology.RelCWComplex.Subcomplex.subset_complexproof · cited by 3
- precise_refinement_setproof · cited by 3
- Topology.RelCWComplex.cellFrontier_subset_skeletonLTproof · cited by 3
- IsPreconnected.preperfect_of_nontrivialproof · cited by 2
- Set.Ico_subset_Icc_union_Icoproof · cited by 2
- Set.Iic_subset_Iic_union_Iccproof · cited by 2
- exists_subset_affineIndependent_affineSpan_eq_topproof · cited by 1
- MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodoryproof · cited by 1
- Ioc_subset_biUnion_Iocproof · cited by 1
- Topology.RelCWComplex.Subcomplex.union_closedCellproof · cited by 1
- dense_coborderproof · cited by 1