Theorems · Theorem · number theory
Finset.card_mul_cast_addConst
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] {𝕜 : Type u_3} [inst_2 : Semifield 𝕜] [CharZero 𝕜]
(A B : Finset G), ↑A.card * ↑(A.addConst B) = ↑(A + B).card- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CharZerostatement and proof · cited by 932
- Semifieldstatement and proof · cited by 439
- NNRat.caststatement and proof · cited by 235
- Finset.addstatement · cited by 133
- NNRat.cast_natCastproof · cited by 31
- Finset.addConststatement and proof · cited by 17
- NNRat.cast_injproof · cited by 5
- NNRat.cast_mulproof · cited by 5
- Finset.card_mul_addConstproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.