Theorems · Theorem · number theory
Finset.mulDysonETransform.card
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : CommGroup α] (e : α) (x : Finset α × Finset α),
(Finset.mulDysonETransform e x).1.card + (Finset.mulDysonETransform e x).2.card = x.1.card + x.2.card- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommGroup
Around this declaration
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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
- Finset.cardstatement and proof · cited by 2,327
- CommGroupstatement and proof · cited by 990
- smul_inv_smulproof · cited by 53
- Finset.inter_commproof · cited by 25
- Finset.card_union_add_card_interproof · cited by 14
- Finset.card_smul_finsetproof · cited by 12
- Finset.mulDysonETransformstatement · cited by 6
- Finset.smul_finset_interproof · cited by 4
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