Theorems · Theorem · combinatorics
FinEnum.card_eq_one
∀ (α : Type u) [inst : FinEnum α] [Unique α], FinEnum.card α = 1
Any enumeration of a type with unique inhabitant has length 1.
- Defined in
- Mathlib.Data.FinEnum
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Uniquestatement and proof · cited by 400
- FinEnum.cardstatement · cited by 32
- FinEnumstatement and proof · cited by 21
- FinEnum.card_eq_fintypeCardproof · cited by 4
- Fintype.card_eq_one_iff_nonempty_uniqueproof · cited by 3
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