Theorems · Theorem · linear algebra
realPart_idem
∀ {A : Type u_1} [inst : AddCommGroup A] [inst_1 : Module ℂ A] [inst_2 : StarAddMonoid A] [inst_3 : StarModule ℂ A]
{x : A}, realPart ↑(realPart x) = realPart x- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- StarModulestatement and proof · cited by 570
- StarAddMonoidstatement and proof · cited by 296
- selfAdjointstatement · cited by 135
- realPartstatement and proof · cited by 53
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