Theorems · Theorem · functional analysis
RCLike.ofReal_im_ax
∀ {K : semiOutParam (Type u_1)} [self : RCLike K] (r : ℝ), RCLike.im ((algebraMap ℝ K) r) = 0- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 158 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- AddMonoid.toZerostatement · cited by 325
- RCLike.imstatement · cited by 161
Cited by2
Results whose statement or proof uses this declaration.
- RCLike.ofReal_improof · cited by 41
- RCLike.im_ofReal_powproof · cited by 3