instGroup — Mathlib

English

The collection of OneCochain objects forms a group under pointwise multiplication.

Русский

Набор объектов OneCochain образует группу под покомпонентным умножением.

LaTeX

$$OneCochain G U is a group; multiplication is defined pointwise.$$

Lean4

instance : Group (OneCochain G U) where
  mul_assoc _ _ _ := by ext; apply mul_assoc
  one_mul _ := by ext; apply one_mul
  mul_one _ := by ext; apply mul_one
  inv_mul_cancel _ := by ext; apply inv_mul_cancel

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