Mathlib Map

Theorems · Definition · combinatorics

Fintype.ofSubsingleton

{α : Type u_1} → α → [Subsingleton α] → Fintype α

Any subsingleton type with a witness is a fintype (with one term).

Defined in
Mathlib.Data.Fintype.OfMap
Cited by
4 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Subsingleton
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Fintype.card_unique · cited by 59Fintype.card_uniqueFintype.card_ofSubsingleton · cited by 3Fintype.card_ofSubsinglet…Fintype.univ_ofSubsingleton · cited by 0Fintype.univ_ofSubsinglet…Nat.card_of_subsingleton · cited by 0Nat.card_of_subsingletonFintype · cited by 7736FintypeFintype.ofSubsingletonCITED BYCITES

Cites1

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

Cited by4

Results whose statement or proof uses this declaration.