Theorems · Definition · linear algebra
Complex.imLm
ℂ →ₗ[ℝ] ℝ
Linear map version of the imaginary part function, from ℂ to ℝ.
- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Complexstatement and proof · cited by 5,565
- Complex.improof · cited by 591
- Complex.add_improof · cited by 7
Cited by8
Results whose statement or proof uses this declaration.
- Complex.imCLMproof · cited by 17
- Complex.liftAuxproof · cited by 7
- Complex.imCLM_normproof · cited by 2
- MeasureTheory.ComplexMeasure.im_applystatement · cited by 1
- ModularGroup.tendsto_normSq_coprime_pairproof · cited by 1
- Complex.imLm_coestatement · cited by 0
- MeasureTheory.ComplexMeasure.absolutelyContinuous_ennreal_iffproof · cited by 0
- Complex.imCLM_coestatement · cited by 0