Theorems · Theorem · ring theory

Unitization.inrRangeEquiv_symm_apply

∀ (R : Type u_1) (A : Type u_2) [inst : CommSemiring R] [inst_1 : StarAddMonoid R] [inst_2 : NonUnitalSemiring A]
  [inst_3 : Star A] [inst_4 : Module R A] [inst_5 : IsScalarTower R A A] [inst_6 : SMulCommClass R A A]
  (a : ↥(NonUnitalStarAlgHom.range (Unitization.inrNonUnitalStarAlgHom R A))),
  (Unitization.inrRangeEquiv R A).symm a = (↑a).toProd.2

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

1 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarAddMonoidNonUnitalSemiringStarModuleIsScalarTowerSMulCommClass