Theorems · Theorem · category theory

CategoryTheory.Limits.limitConeOfUnique_cone_pt

∀ {β : Type w} {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : Unique β] (f : β → C),
  (CategoryTheory.Limits.limitConeOfUnique f).cone.pt = f default

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Products
Cited by: 0 results in Mathlib
Foundations: Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category Unique

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Discretestatement · cited by 2,447
CategoryTheory.Limits.Cone.ptstatement and proof · cited by 1,298
CategoryTheory.Discrete.functorstatement · cited by 633
Uniquestatement and proof · cited by 400
CategoryTheory.Limits.LimitCone.conestatement and proof · cited by 72
CategoryTheory.Limits.limitConeOfUniquestatement and proof · cited by 4

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