Theorems · Theorem · ring theory
QuadraticAlgebra.ext
∀ {R : Type u} {a b : R} {x y : QuadraticAlgebra R a b}, x.re = y.re → x.im = y.im → x = y- Defined in
- Mathlib.Algebra.QuadraticAlgebra.Defs
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- QuadraticAlgebrastatement and proof · cited by 123
- QuadraticAlgebra.imstatement and proof · cited by 44
- QuadraticAlgebra.restatement and proof · cited by 43
Cited by21
Results whose statement or proof uses this declaration.
- QuadraticAlgebra.algebraMap_norm_eq_mul_starproof · cited by 4
- QuadraticAlgebra.C_mul_eq_smulproof · cited by 3
- QuadraticAlgebra.algebraMap_trace_eq_add_starproof · cited by 2
- QuadraticAlgebra.C_mulproof · cited by 2
- QuadraticAlgebra.ext_iffproof · cited by 1
- QuadraticAlgebra.mk_eq_add_smul_omegaproof · cited by 1
- QuadraticAlgebra.omega_mul_omega_eq_addproof · cited by 1
- QuadraticAlgebra.C_subproof · cited by 0
- QuadraticAlgebra.omega_mul_omega_eq_mkproof · cited by 0
- QuadraticAlgebra.sub_starproof · cited by 0
- QuadraticAlgebra.nsmul_mkproof · cited by 0
- QuadraticAlgebra.mul_starproof · cited by 0