Theorems · Theorem · field theory

IsLocalHom.isField

∀ {A : Type u_1} {B : Type u_2} {F : Type u_3} [inst : Semiring A] [inst_1 : Semiring B] [inst_2 : FunLike F A B]
  [MonoidWithZeroHomClass F A B] {f : F} [IsLocalHom f], Function.Injective ⇑f → IsField B → IsField A

Defined in

Mathlib.Algebra.Field.Equiv

Cited by

2 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringFunLikeMonoidWithZeroHomClassIsLocalHom