Mathlib Map

Theorems · Theorem · order theory

Set.card_singleton

∀ {α : Type u} (a : α), Fintype.card ↑{a} = 1
Defined in
Mathlib.Data.Set.Finite.Basic
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.encard_singleton · cited by 26Set.encard_singletonSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemFintype.card · cited by 1386Fintype.cardSet.card_singletonCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.