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Theorems · Theorem · functional analysis

RCLike.mul_im_ax

∀ {K : semiOutParam (Type u_1)} [self : RCLike K] (z w : K),
  RCLike.im (z * w) = RCLike.re z * RCLike.im w + RCLike.im z * RCLike.re w
Defined in
Mathlib.Analysis.RCLike.Basic
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike
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Around this declaration

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

RCLike.mul_im · cited by 13RCLike.mul_imDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealAddMonoidHom · cited by 3230AddMonoidHomRCLike · cited by 2829RCLikeAddMonoid.toZero · cited by 325AddMonoid.toZeroRCLike.re · cited by 319RCLike.reRCLike.im · cited by 161RCLike.imRCLike.mul_im_axCITED BYCITES

Cites7

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Cited by1

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