Theorems · Definition · number theory
GaussianInt.toComplex
GaussianInt →+* ℂ
The embedding of the Gaussian integers into the complex numbers, as a ring homomorphism.
- Defined in
- Mathlib.NumberTheory.Zsqrtd.GaussianInt
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement · cited by 10,189
- Complexstatement · cited by 5,565
- Complex.Iproof · cited by 866
- GaussianIntstatement · cited by 37
- Zsqrtd.liftproof · cited by 3
Cited by23
Results whose statement or proof uses this declaration.
- GaussianInt.intCast_real_normstatement and proof · cited by 4
- GaussianInt.intCast_imstatement · cited by 3
- GaussianInt.intCast_restatement · cited by 3
- GaussianInt.toComplex_injstatement · cited by 3
- GaussianInt.toComplex_zerostatement and proof · cited by 2
- GaussianInt.im_toComplexstatement · cited by 2
- GaussianInt.re_toComplexstatement · cited by 2
- GaussianInt.toComplex_def₂statement · cited by 2
- GaussianInt.toComplex_re_divstatement and proof · cited by 1
- GaussianInt.normSq_div_sub_div_lt_onestatement and proof · cited by 1
- GaussianInt.norm_mod_ltproof · cited by 1
- GaussianInt.toComplex_im_divstatement and proof · cited by 1