Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.strictMap
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{D : Type u_1} →
[inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
CategoryTheory.MorphismProperty C → CategoryTheory.Functor C D → CategoryTheory.MorphismProperty DThe (strict) image of a MorphismProperty C by a functor C ⥤ D
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MorphismPropertystatement · cited by 2,179
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.gc_strictMapstatement · cited by 12
- CategoryTheory.MorphismProperty.map_le_iffproof · cited by 3
- CategoryTheory.MorphismProperty.map_mem_strictMapstatement · cited by 3
- CategoryTheory.MorphismProperty.strictMap_le_iff_le_inverseImagestatement and proof · cited by 2
- CategoryTheory.MorphismProperty.strictMap.casesOnstatement and proof · cited by 2
- CategoryTheory.MorphismProperty.map_eq_isoClosurestatement and proof · cited by 2
- CategoryTheory.MorphismProperty.map_isoClosureproof · cited by 2
- CategoryTheory.MorphismProperty.strictMap_multiplicativeClosure_lestatement and proof · cited by 1
- SSet.Truncated.HomotopyCategory.morphismPropertyHomMk_eq_strictMapstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.isoClosure_strictMap_lestatement and proof · cited by 1
- CategoryTheory.MorphismProperty.inverseImage_strictMap_inverseImagestatement · cited by 0