Theorems · Theorem · order theory
Finset.le_card_diffs_mul_card_diffs
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : GeneralizedBooleanAlgebra α] (s t : Finset α),
s.card * t.card ≤ (s.diffs t).card * (t.diffs s).cardA slight generalisation of the Marica-Schönheim Inequality.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- Finset.mapproof · cited by 747
- BooleanAlgebraproof · cited by 300
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Finset.card_mapproof · cited by 114
- HasInfs.infsproof · cited by 105
- HasSups.supsproof · cited by 103
- Finset.hasSupsproof · cited by 61
- Finset.map_eq_imageproof · cited by 50
- Finset.diffsstatement and proof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- Finset.card_le_card_diffsproof · cited by 1