Theorems · Theorem · number theory
Finset.card_mul_addConst
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] (A B : Finset G), ↑A.card * A.addConst B = ↑(A + B).card- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 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.
Cites8
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
- mul_commproof · cited by 2,262
- NNRatstatement and proof · cited by 523
- Finset.addstatement · cited by 133
- Finset.addConststatement and proof · cited by 17
- Finset.addConst_mul_cardproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.card_mul_cast_addConstproof · cited by 0