Theorems · Theorem · combinatorics
Finset.card_inter_add_card_union
∀ {α : Type u_1} [inst : DecidableEq α] (s t : Finset α), (s ∩ t).card + (s ∪ t).card = s.card + t.card- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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 · cited by 2,327
Cited by5
Results whose statement or proof uses this declaration.
- Finset.addETransformLeft.cardproof · cited by 1
- Finset.mulETransformLeft.cardproof · cited by 1
- Finset.card_truncatedInf_union_add_card_truncatedInf_supsproof · cited by 1
- Finset.doubling_lt_golden_ratioproof · cited by 0
- Finset.cast_card_interproof · cited by 0