Theorems · Theorem · linear algebra
ComplexStarModule.ext
∀ {A : Type u_1} [inst : AddCommGroup A] [inst_1 : Module ℂ A] [inst_2 : StarAddMonoid A] [inst_3 : StarModule ℂ A]
{x y : A}, realPart x = realPart y → imaginaryPart x = imaginaryPart y → x = y- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 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 · cited by 25,697
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Complexstatement and proof · cited by 5,565
- AddSubgroupstatement · cited by 3,232
- Complex.Iproof · cited by 866
- StarModulestatement and proof · cited by 570
- StarAddMonoidstatement and proof · cited by 296
- selfAdjointstatement and proof · cited by 135
Cited by1
Results whose statement or proof uses this declaration.
- ComplexStarModule.ext_iffproof · cited by 0