Theorems · Theorem · category theory

CategoryTheory.Subobject.Classifier.ofIso_truth

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (𝒞 : CategoryTheory.Subobject.Classifier C) {Ω₀ Ω : C}
  (eΩ : 𝒞.Ω ≅ Ω) (eΩ₀ : 𝒞.Ω₀ ≅ Ω₀) (from' : (C_1 : C) → C_1 ⟶ Ω₀) (t : Ω₀ ⟶ Ω)
  (ht :
    autoParam (t = CategoryTheory.CategoryStruct.comp eΩ₀.inv (CategoryTheory.CategoryStruct.comp 𝒞.truth eΩ.hom))
      CategoryTheory.Subobject.Classifier.ofIso._auto_1),
  (𝒞.ofIso eΩ eΩ₀ from' t ht).truth = t

Defined in

Mathlib.CategoryTheory.Subobject.Classifier.Defs

Cited by

0 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category