Theorems · Theorem
Fintype.card_multiplicative
∀ (α : Type u_1) [inst : Fintype α], Fintype.card (Multiplicative α) = Fintype.card α
- Defined in
- Mathlib.Algebra.Group.TypeTags.Finite
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement · cited by 1,386
- Multiplicativestatement · cited by 875
- Multiplicative.ofAddproof · cited by 237
- Equiv.bijectiveproof · cited by 132
- Finset.card_mapproof · cited by 114
Cited by2
Results whose statement or proof uses this declaration.
- CommGroup.monoidHom_mulEquiv_of_hasEnoughRootsOfUnityproof · cited by 2
- ZMod.exists_monoidHom_apply_ne_oneproof · cited by 1