Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Codiscrete.equivFun

{X : Type u} →
  {n : ℕ} → (CategoryTheory.nerve (CategoryTheory.Codiscrete X)).obj (Opposite.op { len := n }) ≃ (Fin (n + 1) → X)

Since the morphisms in a codiscrete category do not carry information, an n-simplex of coherentIso is equivalent to an X-vector of length (n + 1).

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.NerveCodiscrete
Cited by
3 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

Cites12

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

Cited by3

Results whose statement or proof uses this declaration.