CategoryTheory.MorphismProperty.transfiniteCompositions

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.MorphismProperty C → CategoryTheory.MorphismProperty C

The class of transfinite compositions (for arbitrary well-ordered types J : Type w) of a class of morphisms W.

Defined in: Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition
Cited by: 14 results in Mathlib
Foundations: Depth 62 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.

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
LinearOrderproof · cited by 8,572
iSupproof · cited by 2,415
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
OrderBotproof · cited by 1,055
SuccOrderproof · cited by 574
WellFoundedLTproof · cited by 491
CategoryTheory.MorphismProperty.transfiniteCompositionsOfShapeproof · cited by 25

Results whose statement or proof uses this declaration.