Theorems · Theorem · logic and foundations
Set.ncard_sdiff_singleton_le
∀ {α : Type u_1} (s : Set α) (a : α), (s \ {a}).ncard ≤ s.ncard- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Finiteproof · cited by 1,814
- Set.ncardstatement and proof · cited by 344
- Set.Infiniteproof · cited by 263
- Set.sdiff_subsetproof · cited by 156
- Set.finite_or_infiniteproof · cited by 23
- Set.ncard_le_ncardproof · cited by 15
- Set.Infinite.ncardproof · cited by 12
- Set.Infinite.sdiffproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Set.ncard_diff_singleton_leproof · cited by 0