Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.toSet_iSup
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {ι : Type u_3} (W : ι → CategoryTheory.MorphismProperty C),
(⨆ i, W i).toSet = ⋃ i, (W i).toSet- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Set.iUnionstatement · cited by 2,483
- iSupstatement and proof · cited by 2,415
- Set.extproof · cited by 2,266
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.leftproof · cited by 426
- CategoryTheory.Arrow.rightproof · cited by 423
- CategoryTheory.Arrow.homproof · cited by 335
- CategoryTheory.MorphismProperty.toSetstatement · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.HasCardinalLT.iSupproof · cited by 0