Theorems · Theorem · logic and foundations
Set.cast_ncard_sdiff
∀ {α : Type u_1} {s t : Set α} {R : Type u_3} [inst : AddGroupWithOne R],
s ⊆ t → t.Finite → ↑(t \ s).ncard = ↑t.ncard - ↑s.ncard- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupWithOne
Around this declaration
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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.Finite.subsetproof · cited by 285
- AddGroupWithOnestatement and proof · cited by 111
- Nat.cast_subproof · cited by 54
- Set.ncard_le_ncardproof · cited by 15
- Set.ncard_sdiffproof · cited by 4
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