Theorems · Theorem · order theory
Set.Subsingleton.anti
∀ {α : Type u} {s t : Set α}, t.Subsingleton → s ⊆ t → s.Subsingleton- Defined in
- Mathlib.Data.Set.Subsingleton
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.Subsingletonstatement and proof · cited by 276
Cited by13
Results whose statement or proof uses this declaration.
- Set.subsingleton_of_subsingletonproof · cited by 10
- Set.subsingleton_of_imageproof · cited by 3
- Set.subsingleton_of_subset_singletonproof · cited by 3
- Set.subsingleton_zero_smul_setproof · cited by 3
- eVariationOn.comp_inter_Icc_eq_of_monotoneOnproof · cited by 2
- AntilipschitzWith.hausdorffMeasure_preimage_leproof · cited by 2
- totallyDisconnectedSpace_iff_connectedComponent_subsingletonproof · cited by 1
- Filter.HasBasis.subsingleton_iffproof · cited by 1
- subsingleton_image_closure_of_finite_of_isPreirreducibleproof · cited by 1
- subsingleton_closureproof · cited by 0
- Multiset.find?_addstatement · cited by 0
- Metric.subsingleton_sphereproof · cited by 0