Theorems · Theorem · logic and foundations
Finite.card_option
∀ {α : Type u_1} [Finite α], Nat.card (Option α) = Nat.card α + 1- Defined in
- Mathlib.SetTheory.Cardinal.NatCard
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Finitestatement and proof · cited by 3,029
- Fintype.cardproof · cited by 1,386
- Nat.cardstatement · cited by 844
- Fintype.ofFiniteproof · cited by 255
- Nat.card_eq_fintype_cardproof · cited by 200
- Fintype.card_optionproof · cited by 5
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