sum_to — Mathlib

English

The map sum_to is injective from the sum of two GoodProduct families into the whole product family.

Русский

Отображение sum_to инъективно от суммы двух множеств GoodProducts в общее множество Profinite.Products.

Lean4

/-- The inclusion map from the sum of `GoodProducts (π C (ord I · < o))` and
`(MaxProducts C ho)` to `Products I`. -/
def sum_to : (GoodProducts (π C (ord I · < o))) ⊕ (MaxProducts C ho) → Products I :=
  Sum.elim Subtype.val Subtype.val

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