Theorems · Theorem · combinatorics
Finset.cast_card_inter
∀ {α : Type u_1} {R : Type u_2} {s t : Finset α} [inst : DecidableEq α] [inst_1 : AddGroupWithOne R],
↑(s ∩ t).card = ↑s.card + ↑t.card - ↑(s ∪ t).card- Defined in
- Mathlib.Data.Finset.CastCard
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddGroupWithOne
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- Nat.cast_addproof · cited by 586
- AddGroupWithOnestatement and proof · cited by 111
- eq_sub_iff_add_eqproof · cited by 65
- Finset.card_inter_add_card_unionproof · cited by 5
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