Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.le_retractClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C), P ≤ P.retractClosure- Cited by
- 5 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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.Categorystatement and proof · cited by 32,673
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.retractClosurestatement · cited by 22
- CategoryTheory.Retract.reflproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.retractClosure_eq_selfproof · cited by 6
- CategoryTheory.ObjectProperty.retractClosure_le_iffproof · cited by 3
- CategoryTheory.ObjectProperty.le_triangEnvelopeIterproof · cited by 1