Theorems · Theorem · complex analysis
Complex.sqrt_map
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {a : 𝕜},
RCLike.im RCLike.I = 1 → ((RCLike.map 𝕜 ℂ) a).sqrt = (RCLike.map 𝕜 ℂ) (RCLike.sqrt a)- Defined in
- Mathlib.Analysis.RCLike.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
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Cites32
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
- RingHom.idstatement · cited by 18,349
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- mul_oneproof · cited by 3,885
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealproof · cited by 1,654
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