Theorems · Theorem · combinatorics
FinEnum.card_eq_fintypeCard
∀ {α : Type u} [inst : FinEnum α] [inst_1 : Fintype α], FinEnum.card α = Fintype.card αThe enumeration merely adds an ordering, leaving the cardinality as is.
- Defined in
- Mathlib.Data.FinEnum
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Equiv.symmproof · cited by 3,681
- Fintype.cardstatement and proof · cited by 1,386
- Equiv.transproof · cited by 337
- FinEnum.cardstatement · cited by 32
- FinEnumstatement and proof · cited by 21
- FinEnum.equivproof · cited by 9
- Fin.equiv_iff_eqproof · cited by 8
- Fintype.truncEquivFinproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- FinEnum.card_eq_zero_iffproof · cited by 1
- FinEnum.card_pos_iffproof · cited by 1
- FinEnum.card_uniqueproof · cited by 0
- FinEnum.card_eq_oneproof · cited by 0