Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.Nonempty.exists_prop
∀ {C : Type u} {inst : CategoryTheory.CategoryStruct.{v, u} C} {P : CategoryTheory.ObjectProperty C}
[self : P.Nonempty], ∃ X, P X- Cited by
- 1 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.exists_prop_of_nonemptyproof · cited by 1