Theorems · Theorem · category theory

CategoryTheory.subterminalsEquivMonoOverTerminal_inverse_map

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasTerminal C]
  {X Y : CategoryTheory.MonoOver (⊤_ C)} (f : X ⟶ Y),
  (CategoryTheory.subterminalsEquivMonoOverTerminal C).inverse.map f = CategoryTheory.ObjectProperty.homMk f.hom.left

Defined in

Mathlib.CategoryTheory.Subterminal

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasTerminal