Theorems · Theorem · combinatorics
Fintype.card_option
∀ {α : Type u_3} [inst : Fintype α], Fintype.card (Option α) = Fintype.card α + 1- Defined in
- Mathlib.Data.Fintype.Option
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 66 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement · cited by 1,386
- Finset.card_mapproof · cited by 114
- Function.Embedding.someproof · cited by 43
- Finset.card_consproof · cited by 16
- Function.Embedding.some_applyproof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- card_derangements_fin_add_twoproof · cited by 1
- ringKrullDim_add_natCard_le_ringKrullDim_mvPolynomialproof · cited by 1
- Fintype.card_embedding_eqproof · cited by 1
- MvPolynomial.ringKrullDim_of_isNoetherianRingproof · cited by 0
- Finite.card_optionproof · cited by 0