Theorems · Theorem · combinatorics
FinEnum.card_eq_zero_iff
∀ {α : Type u} [inst : FinEnum α], FinEnum.card α = 0 ↔ IsEmpty αA type indexable by Fin 0 is empty and vice versa.
- Defined in
- Mathlib.Data.FinEnum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FinEnum
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsEmptystatement · cited by 759
- FinEnum.cardstatement · cited by 32
- FinEnumstatement and proof · cited by 21
- Fintype.card_eq_zero_iffproof · cited by 14
- FinEnum.card_eq_fintypeCardproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- FinEnum.card_eq_zeroproof · cited by 1