Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.le_isoClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C), P ≤ P.isoClosure- Cited by
- 20 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, 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.Iso.reflproof · cited by 727
- CategoryTheory.ObjectProperty.isoClosurestatement · cited by 61
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.isoClosure_eq_selfproof · cited by 12
- CategoryTheory.ObjectProperty.isoClosure_le_iffproof · cited by 8
- CategoryTheory.ObjectProperty.limitsClosure_isoClosureproof · cited by 1
- CategoryTheory.ObjectProperty.IsCardinalFilteredGenerator.isoClosureproof · cited by 1
- CategoryTheory.ObjectProperty.IsCardinalFilteredGenerator.isoClosure_iffproof · cited by 1
- CategoryTheory.ObjectProperty.extensionProduct_isoClosure_leftproof · cited by 1
- CategoryTheory.ObjectProperty.extensionProduct_isoClosure_rightproof · cited by 1
- CategoryTheory.ObjectProperty.limitsOfShape_isoClosureproof · cited by 1
- CategoryTheory.ObjectProperty.isoClosure_isLocalproof · cited by 1
- CategoryTheory.ObjectProperty.colimitsOfShape_isoClosureproof · cited by 1