Theorems · Definition · commutative algebra

PowerSeries.heval

{Γ : Type u_1} →
  {R : Type u_3} →
    [inst : AddCommMonoid Γ] →
      [inst_1 : LinearOrder Γ] →
        [inst_2 : IsOrderedCancelAddMonoid Γ] →
          [inst_3 : CommRing R] → HahnSeries Γ R → PowerSeries R →ₐ[R] HahnSeries Γ R

The R-algebra homomorphism from R⟦X⟧ to R⟦Γ⟧ given by sending the power series variable X to a positive order element x and extending to infinite sums.

Defined in

Mathlib.RingTheory.HahnSeries.HEval

Cited by

7 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidLinearOrderIsOrderedCancelAddMonoidCommRing