Theorems · Theorem · category theory

CategoryTheory.Limits.MulticospanIndex.fstPiMapOfIsLimit_proj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MulticospanShape}
  (I : CategoryTheory.Limits.MulticospanIndex J C) (c : CategoryTheory.Limits.Fan I.left)
  {d : CategoryTheory.Limits.Fan I.right} (hd : CategoryTheory.Limits.IsLimit d) (i : J.R),
  CategoryTheory.CategoryStruct.comp (I.fstPiMapOfIsLimit c hd) (d.proj i) =
    CategoryTheory.CategoryStruct.comp (c.proj (J.fst i)) (I.fst i)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer

Cited by

4 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category