Theorems · Theorem · linear algebra
realPart_comp_subtype_selfAdjoint
∀ {A : Type u_1} [inst : AddCommGroup A] [inst_1 : Module ℂ A] [inst_2 : StarAddMonoid A] [inst_3 : StarModule ℂ A],
realPart ∘ₗ (selfAdjoint.submodule ℝ A).subtype = LinearMap.id- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · 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
- Submodulestatement · cited by 7,192
- Complexstatement and proof · cited by 5,565
- AddSubgroupstatement · cited by 3,232
- LinearMap.compstatement · cited by 1,642
- LinearMap.idstatement · cited by 625
- StarModulestatement and proof · cited by 570
- Submodule.subtypestatement · cited by 480
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