center — Mathlib

English

If all fibers have trivial Star, then the function space (∀ i, f i) inherits a trivial Star structure.

Русский

Если все волокна имеют тривиальную структуру Star, то пространство функций (∀ i, f i) наследует тривиальную структуру Star.

LaTeX

$$Pi.instTrivialStarForall$$

Lean4

/-- The center of a non-unital non-associative semiring `R` is the set of elements that
commute and associate with everything in `R`, here realized as non-unital star
subsemiring. -/
def center (R) [NonUnitalNonAssocSemiring R] [StarRing R] : NonUnitalStarSubsemiring R
    where
  toNonUnitalSubsemiring := NonUnitalSubsemiring.center R
  star_mem' := Set.star_mem_center

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