Theorems · Theorem · ring theory

FaithfulSMul.algebraMap_eq_one_iff

∀ (R : Type u_1) (A : Type u_2) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] [FaithfulSMul R A]
  {r : R}, (algebraMap R A) r = 1 ↔ r = 1

Defined in

Mathlib.Algebra.Algebra.Basic

Cited by

1 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraFaithfulSMul