Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.monotone_retractClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P Q : CategoryTheory.ObjectProperty C},
P ≤ Q → P.retractClosure ≤ Q.retractClosure- Cited by
- 6 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- 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.Retractproof · cited by 34
- CategoryTheory.ObjectProperty.retractClosurestatement and proof · cited by 22
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.retractClosure_le_iffproof · cited by 3
- CategoryTheory.ObjectProperty.monotone_triangEnvelopeIterproof · cited by 1
- CategoryTheory.ObjectProperty.monotone'_triangEnvelopeIterproof · cited by 1
- CategoryTheory.ObjectProperty.retractClosure_isoClosureproof · cited by 0