Theorems · Theorem · logic and foundations
Set.subset_union_left
∀ {α : Type u} {s t : Set α}, s ⊆ s ∪ t- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 142 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 16 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by142
Results whose statement or proof uses this declaration.
- Filter.hasBasis_cocompactproof · cited by 14
- StarAlgebra.subset_adjoinproof · cited by 10
- Subgroup.closure_toSubmonoidproof · cited by 9
- Filter.union_mem_supproof · cited by 9
- Matroid.Indep.contract_indep_iffproof · cited by 9
- Filter.hasBasis_coclosedCompactproof · cited by 8
- IntermediateField.adjoin_adjoin_leftproof · cited by 6
- AddSubgroup.closure_toAddSubmonoidproof · cited by 6
- Topology.RelCWComplex.Subcomplex.base_subsetproof · cited by 5
- MeasureTheory.measure_mono_aeproof · cited by 5
- hasBasis_coLindelofproof · cited by 5
- NonUnitalStarAlgebra.subset_adjoinproof · cited by 5