Theorems · Theorem · category theory
CategoryTheory.TransfiniteCompositionOfShape.ofComposableArrows_isoBot
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {n : ℕ} (G : CategoryTheory.ComposableArrows C n),
(CategoryTheory.TransfiniteCompositionOfShape.ofComposableArrows G).isoBot = CategoryTheory.Iso.refl (G.obj ⊥)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites11
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- Bot.botstatement · cited by 4,720
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Iso.reflstatement · cited by 727
- CategoryTheory.ComposableArrowsstatement and proof · cited by 627
- CategoryTheory.ComposableArrows.leftstatement · cited by 40
- CategoryTheory.ComposableArrows.homstatement · cited by 28
- CategoryTheory.ComposableArrows.rightstatement · cited by 22
- CategoryTheory.TransfiniteCompositionOfShape.isoBotstatement and proof · cited by 14
- CategoryTheory.TransfiniteCompositionOfShape.ofComposableArrowsstatement and proof · cited by 3
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