Theorems · Theorem · category theory
CategoryTheory.OverClass.asOverHom_left
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (S : C) [inst_1 : CategoryTheory.OverClass X S]
[inst_2 : CategoryTheory.OverClass Y S] (f : X ⟶ Y) [inst_3 : CategoryTheory.HomIsOver f S],
(CategoryTheory.OverClass.asOverHom S f).left = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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 and proof · cited by 32,603
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.CommaMorphism.leftstatement and proof · cited by 526
- CategoryTheory.OverClassstatement and proof · cited by 68
- CategoryTheory.OverClass.asOverstatement · cited by 16
- CategoryTheory.HomIsOverstatement and proof · cited by 11
- CategoryTheory.OverClass.asOverHomstatement and proof · cited by 8
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