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Theorems · Theorem · field theory

Complex.div_ofNat_im

∀ (z : ℂ) (n : ℕ) [inst : n.AtLeastTwo], (z / OfNat.ofNat n).im = z.im / OfNat.ofNat n
Defined in
Mathlib.Data.Complex.Basic
Cited by
2 results in Mathlib
Foundations
Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nat.AtLeastTwo
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.Periodic.im_invQParam · cited by 2Periodic.im_invQParamProbabilityTheory.gaussian_charFunDual_congr · cited by 1ProbabilityTheory.gaussia…Real · cited by 25697RealComplex · cited by 5565ComplexComplex.im · cited by 591Complex.imNat.AtLeastTwo · cited by 405Nat.AtLeastTwoComplex.div_natCast_im · cited by 1Complex.div_natCast_imComplex.div_ofNat_imCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.