Theorems · Theorem · linear algebra
Complex.algHom_ext
∀ {A : Type u_3} [inst : Semiring A] [inst_1 : Algebra ℝ A] ⦃f g : ℂ →ₐ[ℝ] A⦄, f Complex.I = g Complex.I → f = gTwo ℝ-algebra homomorphisms from ℂ are equal if they agree on Complex.I.
- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- Complexstatement and proof · cited by 5,565
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement and proof · cited by 3,236
- Complex.ofRealproof · cited by 1,654
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- Complex.Istatement and proof · cited by 866
- AlgHom.extproof · cited by 170
Cited by5
Results whose statement or proof uses this declaration.
- CliffordAlgebraComplex.toComplex_comp_ofComplexproof · cited by 1
- Complex.real_algHom_eq_id_or_conjproof · cited by 1
- Complex.liftAux_neg_Iproof · cited by 0
- Complex.algHom_ext_iffproof · cited by 0
- Complex.liftAux_Iproof · cited by 0