Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.strictMap_le_map
∀ {C : Type u} {D : Type u'} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Category.{v', u'} D]
(P : CategoryTheory.ObjectProperty C) (F : CategoryTheory.Functor C D), P.strictMap F ≤ P.map F- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.ObjectProperty.mapstatement · cited by 15
- CategoryTheory.ObjectProperty.strictMapstatement and proof · cited by 10
- CategoryTheory.ObjectProperty.strictMap.casesOnproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.isoClosure_strictMapproof · cited by 0