QuadraticAlgebra.norm_eq_one_iff_mem_unitary

∀ {R : Type u_2} {a b : R} [inst : CommRing R] {z : QuadraticAlgebra R a b},
  QuadraticAlgebra.norm z = 1 ↔ z ∈ unitary (QuadraticAlgebra R a b)

An element of QuadraticAlgebra R a b has norm equal to 1 if and only if it is contained in the submonoid of unitary elements.

Defined in: Mathlib.Algebra.QuadraticAlgebra.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.