Theorems · Theorem · functional analysis
RCLike.I_mul_re
∀ {K : Type u_1} [inst : RCLike K] (z : K), RCLike.re (RCLike.I * z) = -RCLike.im z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- MulZeroClass.zero_mulproof · cited by 1,625
- zero_subproof · cited by 335
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement and proof · cited by 319
- RCLike.imstatement and proof · cited by 161
- RCLike.Istatement and proof · cited by 100
- RCLike.mul_reproof · cited by 26
- RCLike.I_reproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- RCLike.I_eq_zero_or_im_I_eq_oneproof · cited by 8
- RCLike.im_eq_conj_subproof · cited by 3