Theorems · Theorem · number theory
Finset.addETransformRight.card
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : AddGroup α] (e : α) (x : Finset α × Finset α),
(Finset.addETransformLeft e x).2.card + (Finset.addETransformRight e x).2.card = 2 * x.2.card- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddGroup
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
- AddGroupstatement and proof · cited by 4,410
- Finset.cardstatement and proof · cited by 2,327
- HVAdd.hVAddproof · cited by 1,820
- two_mulproof · cited by 232
- Finset.card_union_add_card_interproof · cited by 14
- Finset.addETransformLeftstatement · cited by 10
- Finset.addETransformRightstatement · cited by 10
- Finset.card_vadd_finsetproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Finset.AddETransform.cardproof · cited by 1