Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.retractClosure_retractClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C),
P.retractClosure.retractClosure = P.retractClosure- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- 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 and proof · cited by 22
- CategoryTheory.ObjectProperty.retractClosure_eq_selfproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.triangEnvelopeIter_succproof · cited by 0
- CategoryTheory.ObjectProperty.triangEnvelopeIter_succ'proof · cited by 0