Theorems · Theorem · commutative algebra

HahnSeries.embDomain_coeff

∀ {Γ : Type u_1} {Γ' : Type u_2} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : PartialOrder Γ']
  {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ}, (HahnSeries.embDomain f x).coeff (f a) = x.coeff a

Defined in

Mathlib.RingTheory.HahnSeries.Basic

Cited by

10 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderZeroPartialOrder