Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.map_eq_isoClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
(W : CategoryTheory.MorphismProperty C) (F : CategoryTheory.Functor C D), W.map F = (W.strictMap F).isoClosure- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Isoproof · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Arrow.mkproof · cited by 421
- CategoryTheory.MorphismProperty.extproof · cited by 61
- CategoryTheory.MorphismProperty.mapstatement and proof · cited by 24
- CategoryTheory.MorphismProperty.strictMapstatement and proof · cited by 23
- CategoryTheory.MorphismProperty.isoClosurestatement and proof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.map_le_iffproof · cited by 3
- CategoryTheory.MorphismProperty.map_isoClosureproof · cited by 2