Theorems · Theorem · logic and foundations
Set.Countable.of_sdiff
∀ {α : Type u} {s t : Set α}, (s \ t).Countable → t.Countable → s.Countable- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Set.Countablestatement and proof · cited by 545
- Set.Countable.monoproof · cited by 34
- Set.Countable.unionproof · cited by 16
- Set.subset_sdiff_unionproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Set.PairwiseDisjoint.countable_of_Iooproof · cited by 4
- countable_setOfPred_covBy_rightproof · cited by 3
- countable_setOfPred_covBy_leftproof · cited by 2
- Set.Countable.of_diffproof · cited by 0