Mathlib Map

Theorems · Definition · category theory

CategoryTheory.ObjectProperty.Nonempty.recOn

{C : Type u} →
  [inst : CategoryTheory.CategoryStruct.{v, u} C] →
    {P : CategoryTheory.ObjectProperty C} →
      {motive : P.Nonempty → Sort u_1} → (t : P.Nonempty) → ((exists_prop : ∃ X, P X) → motive ⋯) → motive t
Defined in
Mathlib.CategoryTheory.ObjectProperty.Basic
Cited by
0 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryStruct
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.ObjectProperty.Nonempty · cited by 13ObjectProperty.NonemptyNonempty.recOnCITED BYCITES

Cites3

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.