summand — Mathlib

English

EqId_iff_len_eq: A.EqId ⇔ Opposite.unop A.fst length equals Opposite.unop Δ length.

Русский

EqId_iff_len_eq: A.EqId ⇔ длина Opposite.unop A.fst равна длине Opposite.unop Δ.

LaTeX

$$$A.EqId \\Leftrightarrow (\\mathrm{Opposite.unop} \\, A.fst).\\mathrm{len} = (\\mathrm{Opposite.unop} \\, Δ).\\mathrm{len}$$$

Lean4

/-- Given a sequences of objects `N : ℕ → C` in a category `C`, this is
a family of objects indexed by the elements `A : Splitting.IndexSet Δ`.
The `Δ`-simplices of a split simplicial objects shall identify to the
coproduct of objects in such a family. -/
@[simp, nolint unusedArguments]
def summand (A : IndexSet Δ) : C :=
  N A.1.unop.len

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