Theorems · Theorem · number theory
Finset.mulETransformLeft.card
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Group α] (e : α) (x : Finset α × Finset α),
(Finset.mulETransformLeft e x).1.card + (Finset.mulETransformRight e x).1.card = 2 * x.1.card- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Groupstatement and proof · cited by 6,238
- Finset.cardstatement and proof · cited by 2,327
- MulOpposite.opproof · cited by 520
- two_mulproof · cited by 232
- Finset.card_smul_finsetproof · cited by 12
- Finset.mulETransformLeftstatement · cited by 10
- Finset.mulETransformRightstatement · cited by 10
- Finset.card_inter_add_card_unionproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Finset.MulETransform.cardproof · cited by 1