Theorems · Definition · category theory

CategoryTheory.Limits.SequentialProduct.functorObjProj_pos

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

The projection map from functorObj M N n to M m, when m < n

Defined in: Mathlib.CategoryTheory.Limits.Shapes.SequentialProduct
Cited by: 0 results in Mathlib
Foundations: Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasCountableProducts

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.CategoryStruct.compproof · cited by 17,999
CategoryTheory.eqToHomproof · cited by 860
CategoryTheory.Limits.Pi.πproof · cited by 184
CategoryTheory.Limits.HasCountableProductsstatement and proof · cited by 13
CategoryTheory.Limits.SequentialProduct.functorObjstatement · cited by 9

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