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Theorems · Theorem · number theory

Finset.mulETransformRight.card

∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Group α] (e : α) (x : Finset α × Finset α),
  (Finset.mulETransformLeft e x).2.card + (Finset.mulETransformRight e x).2.card = 2 * x.2.card
Defined in
Mathlib.Combinatorics.Additive.ETransform
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.MulETransform.card · cited by 1MulETransform.cardFinset · cited by 13712FinsetGroup · cited by 6238GroupFinset.card · cited by 2327Finset.cardtwo_mul · cited by 232two_mulFinset.card_union_add_card_inter · cited by 14Finset.card_union_add_car…Finset.card_smul_finset · cited by 12Finset.card_smul_finsetFinset.mulETransformLeft · cited by 10Finset.mulETransformLeftFinset.mulETransformRight · cited by 10Finset.mulETransformRightmulETransformRight.cardCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.