Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.le_colimitsClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C) {α : Type t}
(J : α → Type u') [inst_1 : (a : α) → CategoryTheory.Category.{v', u'} (J a)], P ≤ P.colimitsClosure J- Cited by
- 6 results in Mathlib
- Foundations
- Depth 4 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.Categorystatement and proof · cited by 32,673
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.colimitsClosurestatement · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.colimitsClosure_eq_selfproof · cited by 2
- CategoryTheory.ObjectProperty.le_colimitsCardinalClosureproof · cited by 1
- CategoryTheory.ObjectProperty.colimitsClosure_monotoneproof · cited by 1
- CategoryTheory.ObjectProperty.colimitsClosure_eq_unop_limitsClosureproof · cited by 0
- CategoryTheory.ObjectProperty.colimitsClosure_isoClosureproof · cited by 0
- CategoryTheory.ObjectProperty.binaryCoproductsClosure_le_iffproof · cited by 0