Theorems · Definition · category theory
CategoryTheory.ObjectProperty.arbitrary
{C : Type u} →
[inst : CategoryTheory.CategoryStruct.{v, u} C] → (P : CategoryTheory.ObjectProperty C) → [P.Nonempty] → CUsing Classical.choice, extracts an object from a Nonempty object property.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.CategoryStructstatement and proof · cited by 343
- CategoryTheory.ObjectProperty.Nonemptystatement and proof · cited by 13
- CategoryTheory.ObjectProperty.exists_prop_of_nonemptyproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.prop_arbitrarystatement · cited by 2
- CategoryTheory.ObjectProperty.nonempty_iSupproof · cited by 0
- CategoryTheory.ObjectProperty.Nonempty.monoproof · cited by 0