Theorems · Theorem · number theory
Finset.addConst_mul_card
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] (A B : Finset G), A.addConst B * ↑A.card = ↑(A + B).card- Cited by
- 4 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- AddGroupstatement and proof · cited by 4,410
- Finset.cardstatement and proof · cited by 2,327
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- Finset.Nonemptyproof · cited by 1,001
- ne_of_gtproof · cited by 637
- NNRatstatement · cited by 523
- Nat.cast_pos'proof · cited by 219
- Finset.addstatement · cited by 133
- div_mul_cancel₀proof · cited by 122
- Finset.eq_empty_or_nonemptyproof · cited by 104
Cited by4
Results whose statement or proof uses this declaration.
- Finset.card_mul_addConstproof · cited by 1
- Finset.subConst_le_addConst_sqproof · cited by 0
- Finset.addConst_le_subConst_sqproof · cited by 0
- Finset.cast_addConst_mul_cardproof · cited by 0