instAddCommGroup — Mathlib

English

The evaluation form of fst coincides with Prod.fst, i.e., coe fst = Prod.fst.

Русский

Сопоставление fst по значению совпадает с Prod.fst: coe fst = Prod.fst.

LaTeX

$$$\mathrm{coe}(fst) = \mathrm{Prod}.fst$$$

Lean4

/-- The set of affine maps to a vector space is an additive commutative group. -/
instance : AddCommGroup (P1 →ᵃ[k] V2) :=
  coeFn_injective.addCommGroup _ coe_zero coe_add coe_neg coe_sub (fun _ _ => coe_smul _ _) fun _ _ => coe_smul _ _

Похожие утверждения