Theorems · Theorem · logic and foundations
Set.ncard_sdiff
∀ {α : Type u_1} {s t : Set α}, s ⊆ t → autoParam s.Finite Set.ncard_sdiff._auto_1 → (t \ s).ncard = t.ncard - s.ncardThis is the same as ncard_sdiff' but we require s to be finite instead.
- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Finitestatement and proof · cited by 1,814
- Set.ncardstatement and proof · cited by 344
- Set.Infiniteproof · cited by 263
- Set.finite_or_infiniteproof · cited by 23
- Set.Infinite.ncardproof · cited by 12
- Set.Infinite.sdiffproof · cited by 10
- Set.ncard_sdiff'proof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.ConnectedComponent.Represents.ncard_sdiff_of_memproof · cited by 1
- Set.cast_ncard_sdiffproof · cited by 0
- SimpleGraph.binomialRandom_singletonproof · cited by 0
- Set.ncard_diffproof · cited by 0