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Theorems · Definition · ring theory

QuadraticAlgebra.re

{R : Type u} → {a b : R} → QuadraticAlgebra R a b → R

Real part of an element in quadratic algebra

Defined in
Mathlib.Algebra.QuadraticAlgebra.Defs
Cited by
43 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

QuadraticAlgebra.norm · cited by 24QuadraticAlgebra.normQuadraticAlgebra.ext · cited by 21QuadraticAlgebra.extQuadraticAlgebra.trace · cited by 11QuadraticAlgebra.traceQuadraticAlgebra.algebraMap_norm_eq_mul_star · cited by 4QuadraticAlgebra.algebraM…QuadraticAlgebra.C_mul_eq_smul · cited by 3QuadraticAlgebra.C_mul_eq…QuadraticAlgebra.lift · cited by 2QuadraticAlgebra.liftQuadraticAlgebra.algebraMap_dvd_iff · cited by 1QuadraticAlgebra.algebraM…QuadraticAlgebra.re_zero · cited by 1QuadraticAlgebra.re_zeroQuadraticAlgebra.algebraMap_mem_nonZeroDivisors_iff · cited by 1QuadraticAlgebra.algebraM…QuadraticAlgebra.reₗ · cited by 1QuadraticAlgebra.reₗQuadraticAlgebra.ext_iff · cited by 1QuadraticAlgebra.ext_iffQuadraticAlgebra.equivProd · cited by 1QuadraticAlgebra.equivProdQuadraticAlgebra.norm_def · cited by 1QuadraticAlgebra.norm_defQuadraticAlgebra.C_injective · cited by 1QuadraticAlgebra.C_inject…QuadraticAlgebra.omega_re · cited by 0QuadraticAlgebra.omega_reQuadraticAlgebra · cited by 123QuadraticAlgebraQuadraticAlgebra.reCITED BYCITES

Cites1

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Cited by48

Results whose statement or proof uses this declaration.