Theorems · Theorem · logic and foundations
Set.ncard_diff
Deprecated since 2026-06-03Use Set.ncard_sdiff instead.
∀ {α : Type u_1} {s t : Set α}, s ⊆ t → autoParam s.Finite Set.ncard_sdiff._auto_1 → (t \ s).ncard = t.ncard - s.ncardAlias of Set.ncard_sdiff.
This is the same as ncard_sdiff' but we require s to be finite instead.
- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Finitestatement · cited by 1,814
- Set.ncardstatement · cited by 344
- Set.ncard_sdiffproof · cited by 4
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