Theorems · Definition · category theory

CategoryTheory.Limits.SequentialProduct.functorMap

{C : Type u_1} →
  {M N : ℕ → C} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      ((n : ℕ) → M n ⟶ N n) →
        [inst_1 : CategoryTheory.Limits.HasCountableProducts C] →
          (n : ℕ) →
            CategoryTheory.Limits.SequentialProduct.functorObj M N (n + 1) ⟶
              CategoryTheory.Limits.SequentialProduct.functorObj M N n

The transition maps in the sequential limit of products

Defined in

Mathlib.CategoryTheory.Limits.Shapes.SequentialProduct

Cited by

9 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCountableProducts