Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.transfiniteCompositions_le
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (W : CategoryTheory.MorphismProperty C)
[W.IsStableUnderTransfiniteComposition], CategoryTheory.MorphismProperty.transfiniteCompositions.{w, v, u} W ≤ W- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- LinearOrderproof · cited by 8,572
- 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
- CategoryTheory.MorphismProperty.transfiniteCompositionsstatement and proof · cited by 14
- CategoryTheory.MorphismProperty.transfiniteCompositionsOfShape_leproof · cited by 7
- CategoryTheory.MorphismProperty.IsStableUnderTransfiniteCompositionstatement and proof · cited by 6
- CategoryTheory.MorphismProperty.transfiniteCompositions_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.transfiniteCompositions_le_iffproof · cited by 0