Theorems · Theorem · category theory

CategoryTheory.Over.ConstructProducts.conesEquivInverseObj_pt

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (B : C) {J : Type w}
  (F : CategoryTheory.Functor (CategoryTheory.Discrete J) (CategoryTheory.Over B)) (c : CategoryTheory.Limits.Cone F),
  (CategoryTheory.Over.ConstructProducts.conesEquivInverseObj B F c).pt = c.pt.left

Defined in: Mathlib.CategoryTheory.Limits.Constructions.Over.Products
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Discretestatement and proof · cited by 2,447
CategoryTheory.Limits.Cone.ptstatement and proof · cited by 1,298
CategoryTheory.Overstatement and proof · cited by 935
CategoryTheory.Limits.Conestatement and proof · cited by 710
CategoryTheory.Over.leftstatement · cited by 541
CategoryTheory.Limits.WidePullbackShapestatement · cited by 94
CategoryTheory.Over.ConstructProducts.widePullbackDiagramOfDiagramOverstatement · cited by 16
CategoryTheory.Over.ConstructProducts.conesEquivInverseObjstatement and proof · cited by 4

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