Theorems · Theorem · order theory
Set.subsingleton_isBot
∀ (α : Type u_1) [inst : PartialOrder α], {x | IsBot x}.Subsingleton- Defined in
- Mathlib.Data.Set.Subsingleton
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- PartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Set.ofPredstatement and proof · cited by 6,101
- Set.Subsingletonstatement · cited by 276
- IsBotstatement and proof · cited by 77
- IsBot.isMinproof · cited by 7
- IsMin.eq_of_geproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- subsingleton_botSetproof · cited by 3
- countable_setOfPred_covBy_rightproof · cited by 3
- Set.finite_isBotproof · cited by 1
- Dense.exists_countable_dense_subset_no_bot_topproof · cited by 1
- BoundedVariationOn.vectorMeasure_singletonproof · cited by 1