Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.ofComposableArrows_isoBot_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (W : CategoryTheory.MorphismProperty C) {n : ℕ}
(F : CategoryTheory.ComposableArrows C n) (hF : ∀ (i : Fin n), W (F.map (CategoryTheory.homOfLE ⋯))),
(CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.ofComposableArrows W F hF).isoBot.inv =
CategoryTheory.CategoryStruct.id (F.obj ⊥)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites17
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.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- Bot.botstatement · cited by 4,720
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.ComposableArrowsstatement and proof · cited by 627
- CategoryTheory.homOfLEstatement and proof · cited by 554
- CategoryTheory.ComposableArrows.leftstatement · cited by 40
- CategoryTheory.ComposableArrows.homstatement · cited by 28
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