Theorems · Theorem · group theory
Finset.card_add_le
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Add α] {s t : Finset α}, (s + t).card ≤ s.card * t.card- Cited by
- 4 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Finset.addstatement · cited by 133
- Finset.card_image₂_leproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- IsApproximateAddSubgroup.card_nsmul_leproof · cited by 1
- MeasureTheory.Measure.haar.le_addIndex_mulproof · cited by 1
- Finset.addConst_le_cardproof · cited by 0
- AddSubgroup.exists_finset_card_le_addproof · cited by 0