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Theorems · Theorem · complex analysis

RCLike.sqrt_one

∀ {𝕜 : Type u_1} [inst : RCLike 𝕜], RCLike.sqrt 1 = 1
Defined in
Mathlib.Analysis.RCLike.Sqrt
Cited by
1 results in Mathlib
Foundations
Depth 194 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.sqrt_neg_one · cited by 0RCLike.sqrt_neg_oneDFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealComplex · cited by 5565ComplexAlgebra.algebraMap · cited by 4706Algebra.algebraMapRCLike · cited by 2829RCLikeadd_zero · cited by 2707add_zeroMulZeroClass.zero_mul · cited by 1625MulZeroClass.zero_mulmap_zero · cited by 1614map_zeroComplex.I · cited by 866Complex.Imap_one · cited by 861map_oneRCLike.ofReal · cited by 350RCLike.ofRealRCLike.I · cited by 100RCLike.IComplex.sqrt · cited by 32Complex.sqrtRCLike.sqrt · cited by 15RCLike.sqrtRCLike.map · cited by 14RCLike.mapRCLike.sqrt_oneCITED BYCITES

Cites19

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.